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Finding the Fourth Proportional to 9,854.67, 14,737.10 and 7,357.61

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Solution

The fourth proportional to 9,854.67, 14,737.10 and 7,357.61 is: 11,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.67 : 14,737.10 = 7,357.61 : x
  2. Step 2: Convert to fraction form
    9,854.67/14,737.10 = 7,357.61/x
  3. Step 3: Cross multiply
    9,854.67x = 14,737.10 × 7,357.61
  4. Step 4: Simplify right side
    9,854.67x = 108,429,834.33
  5. Step 5: Solve for x
    x = 108,429,834.33/9,854.67
  6. Step 6: Final answer
    x = 11,002.89

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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.