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Finding the Fourth Proportional to 9,732.48, 13,430.82 and 5,256.23

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Solution

The fourth proportional to 9,732.48, 13,430.82 and 5,256.23 is: 7,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.48 : 13,430.82 = 5,256.23 : x
  2. Step 2: Convert to fraction form
    9,732.48/13,430.82 = 5,256.23/x
  3. Step 3: Cross multiply
    9,732.48x = 13,430.82 × 5,256.23
  4. Step 4: Simplify right side
    9,732.48x = 70,595,411.85
  5. Step 5: Solve for x
    x = 70,595,411.85/9,732.48
  6. Step 6: Final answer
    x = 7,253.59

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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.