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Finding the Fourth Proportional to 9,507.39, 13,123.80 and 8,510.87

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Solution

The fourth proportional to 9,507.39, 13,123.80 and 8,510.87 is: 11,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.39 : 13,123.80 = 8,510.87 : x
  2. Step 2: Convert to fraction form
    9,507.39/13,123.80 = 8,510.87/x
  3. Step 3: Cross multiply
    9,507.39x = 13,123.80 × 8,510.87
  4. Step 4: Simplify right side
    9,507.39x = 111,694,890.09
  5. Step 5: Solve for x
    x = 111,694,890.09/9,507.39
  6. Step 6: Final answer
    x = 11,748.22

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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.