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Finding the Fourth Proportional to 9,178.57, 12,654.15 and 7,296.40

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Solution

The fourth proportional to 9,178.57, 12,654.15 and 7,296.40 is: 10,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.57 : 12,654.15 = 7,296.40 : x
  2. Step 2: Convert to fraction form
    9,178.57/12,654.15 = 7,296.40/x
  3. Step 3: Cross multiply
    9,178.57x = 12,654.15 × 7,296.40
  4. Step 4: Simplify right side
    9,178.57x = 92,329,740.06
  5. Step 5: Solve for x
    x = 92,329,740.06/9,178.57
  6. Step 6: Final answer
    x = 10,059.27

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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.