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Finding the Fourth Proportional to 9,652.07, 13,318.89 and 5,402.88

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Solution

The fourth proportional to 9,652.07, 13,318.89 and 5,402.88 is: 7,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.07 : 13,318.89 = 5,402.88 : x
  2. Step 2: Convert to fraction form
    9,652.07/13,318.89 = 5,402.88/x
  3. Step 3: Cross multiply
    9,652.07x = 13,318.89 × 5,402.88
  4. Step 4: Simplify right side
    9,652.07x = 71,960,364.40
  5. Step 5: Solve for x
    x = 71,960,364.40/9,652.07
  6. Step 6: Final answer
    x = 7,455.44

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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.