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Finding the Fourth Proportional to 9,167.74, 12,633.33 and 6,507.70

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Solution

The fourth proportional to 9,167.74, 12,633.33 and 6,507.70 is: 8,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.74 : 12,633.33 = 6,507.70 : x
  2. Step 2: Convert to fraction form
    9,167.74/12,633.33 = 6,507.70/x
  3. Step 3: Cross multiply
    9,167.74x = 12,633.33 × 6,507.70
  4. Step 4: Simplify right side
    9,167.74x = 82,213,914.46
  5. Step 5: Solve for x
    x = 82,213,914.46/9,167.74
  6. Step 6: Final answer
    x = 8,967.74

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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.