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Finding the Fourth Proportional to 9,602.71, 14,394.18 and 3,677.99

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Solution

The fourth proportional to 9,602.71, 14,394.18 and 3,677.99 is: 5,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.71 : 14,394.18 = 3,677.99 : x
  2. Step 2: Convert to fraction form
    9,602.71/14,394.18 = 3,677.99/x
  3. Step 3: Cross multiply
    9,602.71x = 14,394.18 × 3,677.99
  4. Step 4: Simplify right side
    9,602.71x = 52,941,650.10
  5. Step 5: Solve for x
    x = 52,941,650.10/9,602.71
  6. Step 6: Final answer
    x = 5,513.20

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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.