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Finding the Fourth Proportional to 9,793,412.40, 14,684,869.80 and 4,107,212.40

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Solution

The fourth proportional to 9,793,412.40, 14,684,869.80 and 4,107,212.40 is: 6,158,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793,412.40 : 14,684,869.80 = 4,107,212.40 : x
  2. Step 2: Convert to fraction form
    9,793,412.40/14,684,869.80 = 4,107,212.40/x
  3. Step 3: Cross multiply
    9,793,412.40x = 14,684,869.80 × 4,107,212.40
  4. Step 4: Simplify right side
    9,793,412.40x = 60,313,879,334,945.52
  5. Step 5: Solve for x
    x = 60,313,879,334,945.52/9,793,412.40
  6. Step 6: Final answer
    x = 6,158,617.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.