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Finding the Fourth Proportional to 9,111.92, 12,575.03 and 6,869.84

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Solution

The fourth proportional to 9,111.92, 12,575.03 and 6,869.84 is: 9,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.92 : 12,575.03 = 6,869.84 : x
  2. Step 2: Convert to fraction form
    9,111.92/12,575.03 = 6,869.84/x
  3. Step 3: Cross multiply
    9,111.92x = 12,575.03 × 6,869.84
  4. Step 4: Simplify right side
    9,111.92x = 86,388,444.10
  5. Step 5: Solve for x
    x = 86,388,444.10/9,111.92
  6. Step 6: Final answer
    x = 9,480.82

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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.