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Finding the Fourth Proportional to 9,426, 14,132.76 and 4,496.40

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Solution

The fourth proportional to 9,426, 14,132.76 and 4,496.40 is: 6,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426 : 14,132.76 = 4,496.40 : x
  2. Step 2: Convert to fraction form
    9,426/14,132.76 = 4,496.40/x
  3. Step 3: Cross multiply
    9,426x = 14,132.76 × 4,496.40
  4. Step 4: Simplify right side
    9,426x = 63,546,542.06
  5. Step 5: Solve for x
    x = 63,546,542.06/9,426
  6. Step 6: Final answer
    x = 6,741.62

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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.