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Finding the Fourth Proportional to 9,116.52, 12,580.76 and 4,924.76

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Solution

The fourth proportional to 9,116.52, 12,580.76 and 4,924.76 is: 6,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.52 : 12,580.76 = 4,924.76 : x
  2. Step 2: Convert to fraction form
    9,116.52/12,580.76 = 4,924.76/x
  3. Step 3: Cross multiply
    9,116.52x = 12,580.76 × 4,924.76
  4. Step 4: Simplify right side
    9,116.52x = 61,957,223.62
  5. Step 5: Solve for x
    x = 61,957,223.62/9,116.52
  6. Step 6: Final answer
    x = 6,796.15

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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.