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Finding the Fourth Proportional to 9,732.59, 13,430.98 and 5,256.35

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Solution

The fourth proportional to 9,732.59, 13,430.98 and 5,256.35 is: 7,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.59 : 13,430.98 = 5,256.35 : x
  2. Step 2: Convert to fraction form
    9,732.59/13,430.98 = 5,256.35/x
  3. Step 3: Cross multiply
    9,732.59x = 13,430.98 × 5,256.35
  4. Step 4: Simplify right side
    9,732.59x = 70,597,851.43
  5. Step 5: Solve for x
    x = 70,597,851.43/9,732.59
  6. Step 6: Final answer
    x = 7,253.76

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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.