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Finding the Fourth Proportional to 9,624.68, 13,291.32 and 7,506.08

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Solution

The fourth proportional to 9,624.68, 13,291.32 and 7,506.08 is: 10,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.68 : 13,291.32 = 7,506.08 : x
  2. Step 2: Convert to fraction form
    9,624.68/13,291.32 = 7,506.08/x
  3. Step 3: Cross multiply
    9,624.68x = 13,291.32 × 7,506.08
  4. Step 4: Simplify right side
    9,624.68x = 99,765,711.23
  5. Step 5: Solve for x
    x = 99,765,711.23/9,624.68
  6. Step 6: Final answer
    x = 10,365.61

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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.