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Finding the Fourth Proportional to 9,865.32, 13,614.54 and 5,673.57

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Solution

The fourth proportional to 9,865.32, 13,614.54 and 5,673.57 is: 7,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.32 : 13,614.54 = 5,673.57 : x
  2. Step 2: Convert to fraction form
    9,865.32/13,614.54 = 5,673.57/x
  3. Step 3: Cross multiply
    9,865.32x = 13,614.54 × 5,673.57
  4. Step 4: Simplify right side
    9,865.32x = 77,243,045.71
  5. Step 5: Solve for x
    x = 77,243,045.71/9,865.32
  6. Step 6: Final answer
    x = 7,829.76

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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.