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Finding the Fourth Proportional to 39,294.39, 58,941.63 and 9,711.75

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Solution

The fourth proportional to 39,294.39, 58,941.63 and 9,711.75 is: 14,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,294.39 : 58,941.63 = 9,711.75 : x
  2. Step 2: Convert to fraction form
    39,294.39/58,941.63 = 9,711.75/x
  3. Step 3: Cross multiply
    39,294.39x = 58,941.63 × 9,711.75
  4. Step 4: Simplify right side
    39,294.39x = 572,426,375.15
  5. Step 5: Solve for x
    x = 572,426,375.15/39,294.39
  6. Step 6: Final answer
    x = 14,567.64

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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.