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Finding the Fourth Proportional to 9,732.02, 13,430.18 and 5,255.77

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Solution

The fourth proportional to 9,732.02, 13,430.18 and 5,255.77 is: 7,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.02 : 13,430.18 = 5,255.77 : x
  2. Step 2: Convert to fraction form
    9,732.02/13,430.18 = 5,255.77/x
  3. Step 3: Cross multiply
    9,732.02x = 13,430.18 × 5,255.77
  4. Step 4: Simplify right side
    9,732.02x = 70,585,916.70
  5. Step 5: Solve for x
    x = 70,585,916.70/9,732.02
  6. Step 6: Final answer
    x = 7,252.96

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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.