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Finding the Fourth Proportional to 9,153.06, 12,638.88 and 6,178.74

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Solution

The fourth proportional to 9,153.06, 12,638.88 and 6,178.74 is: 8,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.06 : 12,638.88 = 6,178.74 : x
  2. Step 2: Convert to fraction form
    9,153.06/12,638.88 = 6,178.74/x
  3. Step 3: Cross multiply
    9,153.06x = 12,638.88 × 6,178.74
  4. Step 4: Simplify right side
    9,153.06x = 78,092,353.41
  5. Step 5: Solve for x
    x = 78,092,353.41/9,153.06
  6. Step 6: Final answer
    x = 8,531.83

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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.