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Finding the Fourth Proportional to 9,897.68, 13,652.04 and 5,704.40

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Solution

The fourth proportional to 9,897.68, 13,652.04 and 5,704.40 is: 7,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.68 : 13,652.04 = 5,704.40 : x
  2. Step 2: Convert to fraction form
    9,897.68/13,652.04 = 5,704.40/x
  3. Step 3: Cross multiply
    9,897.68x = 13,652.04 × 5,704.40
  4. Step 4: Simplify right side
    9,897.68x = 77,876,696.98
  5. Step 5: Solve for x
    x = 77,876,696.98/9,897.68
  6. Step 6: Final answer
    x = 7,868.18

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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.