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Finding the Fourth Proportional to 9,713.30, 13,404.21 and 5,464.04

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Solution

The fourth proportional to 9,713.30, 13,404.21 and 5,464.04 is: 7,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.30 : 13,404.21 = 5,464.04 : x
  2. Step 2: Convert to fraction form
    9,713.30/13,404.21 = 5,464.04/x
  3. Step 3: Cross multiply
    9,713.30x = 13,404.21 × 5,464.04
  4. Step 4: Simplify right side
    9,713.30x = 73,241,139.61
  5. Step 5: Solve for x
    x = 73,241,139.61/9,713.30
  6. Step 6: Final answer
    x = 7,540.29

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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.