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Finding the Fourth Proportional to 9,854.87, 14,799.92 and 9,458.46

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Solution

The fourth proportional to 9,854.87, 14,799.92 and 9,458.46 is: 14,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.87 : 14,799.92 = 9,458.46 : x
  2. Step 2: Convert to fraction form
    9,854.87/14,799.92 = 9,458.46/x
  3. Step 3: Cross multiply
    9,854.87x = 14,799.92 × 9,458.46
  4. Step 4: Simplify right side
    9,854.87x = 139,984,404.03
  5. Step 5: Solve for x
    x = 139,984,404.03/9,854.87
  6. Step 6: Final answer
    x = 14,204.60

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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.