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Finding the Fourth Proportional to 9,132.78, 13,704.74 and 6,323.87

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Solution

The fourth proportional to 9,132.78, 13,704.74 and 6,323.87 is: 9,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.78 : 13,704.74 = 6,323.87 : x
  2. Step 2: Convert to fraction form
    9,132.78/13,704.74 = 6,323.87/x
  3. Step 3: Cross multiply
    9,132.78x = 13,704.74 × 6,323.87
  4. Step 4: Simplify right side
    9,132.78x = 86,666,894.00
  5. Step 5: Solve for x
    x = 86,666,894.00/9,132.78
  6. Step 6: Final answer
    x = 9,489.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.