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Finding the Fourth Proportional to 9,981.64, 13,774.08 and 5,732.02

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Solution

The fourth proportional to 9,981.64, 13,774.08 and 5,732.02 is: 7,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.64 : 13,774.08 = 5,732.02 : x
  2. Step 2: Convert to fraction form
    9,981.64/13,774.08 = 5,732.02/x
  3. Step 3: Cross multiply
    9,981.64x = 13,774.08 × 5,732.02
  4. Step 4: Simplify right side
    9,981.64x = 78,953,302.04
  5. Step 5: Solve for x
    x = 78,953,302.04/9,981.64
  6. Step 6: Final answer
    x = 7,909.85

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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.