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Finding the Fourth Proportional to 9,732.16, 13,430.64 and 5,541.52

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Solution

The fourth proportional to 9,732.16, 13,430.64 and 5,541.52 is: 7,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.16 : 13,430.64 = 5,541.52 : x
  2. Step 2: Convert to fraction form
    9,732.16/13,430.64 = 5,541.52/x
  3. Step 3: Cross multiply
    9,732.16x = 13,430.64 × 5,541.52
  4. Step 4: Simplify right side
    9,732.16x = 74,426,160.17
  5. Step 5: Solve for x
    x = 74,426,160.17/9,732.16
  6. Step 6: Final answer
    x = 7,647.45

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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.