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Finding the Fourth Proportional to 9,713.08, 13,404.90 and 5,521.24

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Solution

The fourth proportional to 9,713.08, 13,404.90 and 5,521.24 is: 7,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.08 : 13,404.90 = 5,521.24 : x
  2. Step 2: Convert to fraction form
    9,713.08/13,404.90 = 5,521.24/x
  3. Step 3: Cross multiply
    9,713.08x = 13,404.90 × 5,521.24
  4. Step 4: Simplify right side
    9,713.08x = 74,011,670.08
  5. Step 5: Solve for x
    x = 74,011,670.08/9,713.08
  6. Step 6: Final answer
    x = 7,619.79

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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.