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Finding the Fourth Proportional to 9,155.89, 12,630.56 and 6,166.53

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Solution

The fourth proportional to 9,155.89, 12,630.56 and 6,166.53 is: 8,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.89 : 12,630.56 = 6,166.53 : x
  2. Step 2: Convert to fraction form
    9,155.89/12,630.56 = 6,166.53/x
  3. Step 3: Cross multiply
    9,155.89x = 12,630.56 × 6,166.53
  4. Step 4: Simplify right side
    9,155.89x = 77,886,713.67
  5. Step 5: Solve for x
    x = 77,886,713.67/9,155.89
  6. Step 6: Final answer
    x = 8,506.74

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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.