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Finding the Fourth Proportional to 9,909.48, 14,862.32 and 4,977.80

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Solution

The fourth proportional to 9,909.48, 14,862.32 and 4,977.80 is: 7,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.48 : 14,862.32 = 4,977.80 : x
  2. Step 2: Convert to fraction form
    9,909.48/14,862.32 = 4,977.80/x
  3. Step 3: Cross multiply
    9,909.48x = 14,862.32 × 4,977.80
  4. Step 4: Simplify right side
    9,909.48x = 73,981,656.50
  5. Step 5: Solve for x
    x = 73,981,656.50/9,909.48
  6. Step 6: Final answer
    x = 7,465.75

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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.