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Finding the Fourth Proportional to 9,116.49, 12,582.36 and 8,700.96

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Solution

The fourth proportional to 9,116.49, 12,582.36 and 8,700.96 is: 12,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.49 : 12,582.36 = 8,700.96 : x
  2. Step 2: Convert to fraction form
    9,116.49/12,582.36 = 8,700.96/x
  3. Step 3: Cross multiply
    9,116.49x = 12,582.36 × 8,700.96
  4. Step 4: Simplify right side
    9,116.49x = 109,478,611.07
  5. Step 5: Solve for x
    x = 109,478,611.07/9,116.49
  6. Step 6: Final answer
    x = 12,008.86

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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.