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Finding the Fourth Proportional to 9,084.68, 12,537.76 and 6,106.74

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Solution

The fourth proportional to 9,084.68, 12,537.76 and 6,106.74 is: 8,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.68 : 12,537.76 = 6,106.74 : x
  2. Step 2: Convert to fraction form
    9,084.68/12,537.76 = 6,106.74/x
  3. Step 3: Cross multiply
    9,084.68x = 12,537.76 × 6,106.74
  4. Step 4: Simplify right side
    9,084.68x = 76,564,840.50
  5. Step 5: Solve for x
    x = 76,564,840.50/9,084.68
  6. Step 6: Final answer
    x = 8,427.91

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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.