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Finding the Fourth Proportional to 9,102.65, 12,557.45 and 6,580.76

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Solution

The fourth proportional to 9,102.65, 12,557.45 and 6,580.76 is: 9,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.65 : 12,557.45 = 6,580.76 : x
  2. Step 2: Convert to fraction form
    9,102.65/12,557.45 = 6,580.76/x
  3. Step 3: Cross multiply
    9,102.65x = 12,557.45 × 6,580.76
  4. Step 4: Simplify right side
    9,102.65x = 82,637,468.97
  5. Step 5: Solve for x
    x = 82,637,468.97/9,102.65
  6. Step 6: Final answer
    x = 9,078.40

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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.