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Finding the Fourth Proportional to 9,140.68, 12,614.12 and 4,948.94

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Solution

The fourth proportional to 9,140.68, 12,614.12 and 4,948.94 is: 6,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.68 : 12,614.12 = 4,948.94 : x
  2. Step 2: Convert to fraction form
    9,140.68/12,614.12 = 4,948.94/x
  3. Step 3: Cross multiply
    9,140.68x = 12,614.12 × 4,948.94
  4. Step 4: Simplify right side
    9,140.68x = 62,426,523.03
  5. Step 5: Solve for x
    x = 62,426,523.03/9,140.68
  6. Step 6: Final answer
    x = 6,829.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.