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Finding the Fourth Proportional to 9,753.38, 13,459.53 and 5,446.53

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Solution

The fourth proportional to 9,753.38, 13,459.53 and 5,446.53 is: 7,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.38 : 13,459.53 = 5,446.53 : x
  2. Step 2: Convert to fraction form
    9,753.38/13,459.53 = 5,446.53/x
  3. Step 3: Cross multiply
    9,753.38x = 13,459.53 × 5,446.53
  4. Step 4: Simplify right side
    9,753.38x = 73,307,733.93
  5. Step 5: Solve for x
    x = 73,307,733.93/9,753.38
  6. Step 6: Final answer
    x = 7,516.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.