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Finding the Fourth Proportional to 9,017.84, 12,432.07 and 7,772.15

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Solution

The fourth proportional to 9,017.84, 12,432.07 and 7,772.15 is: 10,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.84 : 12,432.07 = 7,772.15 : x
  2. Step 2: Convert to fraction form
    9,017.84/12,432.07 = 7,772.15/x
  3. Step 3: Cross multiply
    9,017.84x = 12,432.07 × 7,772.15
  4. Step 4: Simplify right side
    9,017.84x = 96,623,912.85
  5. Step 5: Solve for x
    x = 96,623,912.85/9,017.84
  6. Step 6: Final answer
    x = 10,714.75

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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.