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Finding the Fourth Proportional to 9,732.10, 13,428.48 and 5,482.84

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Solution

The fourth proportional to 9,732.10, 13,428.48 and 5,482.84 is: 7,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.10 : 13,428.48 = 5,482.84 : x
  2. Step 2: Convert to fraction form
    9,732.10/13,428.48 = 5,482.84/x
  3. Step 3: Cross multiply
    9,732.10x = 13,428.48 × 5,482.84
  4. Step 4: Simplify right side
    9,732.10x = 73,626,207.28
  5. Step 5: Solve for x
    x = 73,626,207.28/9,732.10
  6. Step 6: Final answer
    x = 7,565.29

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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.