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Finding the Fourth Proportional to 8,384.73, 12,575.01 and 3,047.02

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Solution

The fourth proportional to 8,384.73, 12,575.01 and 3,047.02 is: 4,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.73 : 12,575.01 = 3,047.02 : x
  2. Step 2: Convert to fraction form
    8,384.73/12,575.01 = 3,047.02/x
  3. Step 3: Cross multiply
    8,384.73x = 12,575.01 × 3,047.02
  4. Step 4: Simplify right side
    8,384.73x = 38,316,306.97
  5. Step 5: Solve for x
    x = 38,316,306.97/8,384.73
  6. Step 6: Final answer
    x = 4,569.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.