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Finding the Fourth Proportional to 9,542.45, 14,318.69 and 6,931.53

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Solution

The fourth proportional to 9,542.45, 14,318.69 and 6,931.53 is: 10,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.45 : 14,318.69 = 6,931.53 : x
  2. Step 2: Convert to fraction form
    9,542.45/14,318.69 = 6,931.53/x
  3. Step 3: Cross multiply
    9,542.45x = 14,318.69 × 6,931.53
  4. Step 4: Simplify right side
    9,542.45x = 99,250,394.64
  5. Step 5: Solve for x
    x = 99,250,394.64/9,542.45
  6. Step 6: Final answer
    x = 10,400.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.