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Finding the Fourth Proportional to 9,160.32, 13,678.08 and 7,605.12

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Solution

The fourth proportional to 9,160.32, 13,678.08 and 7,605.12 is: 11,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.32 : 13,678.08 = 7,605.12 : x
  2. Step 2: Convert to fraction form
    9,160.32/13,678.08 = 7,605.12/x
  3. Step 3: Cross multiply
    9,160.32x = 13,678.08 × 7,605.12
  4. Step 4: Simplify right side
    9,160.32x = 104,023,439.77
  5. Step 5: Solve for x
    x = 104,023,439.77/9,160.32
  6. Step 6: Final answer
    x = 11,355.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.