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Finding the Fourth Proportional to 9,713.17, 13,404.15 and 5,464.23

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Solution

The fourth proportional to 9,713.17, 13,404.15 and 5,464.23 is: 7,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.17 : 13,404.15 = 5,464.23 : x
  2. Step 2: Convert to fraction form
    9,713.17/13,404.15 = 5,464.23/x
  3. Step 3: Cross multiply
    9,713.17x = 13,404.15 × 5,464.23
  4. Step 4: Simplify right side
    9,713.17x = 73,243,364.84
  5. Step 5: Solve for x
    x = 73,243,364.84/9,713.17
  6. Step 6: Final answer
    x = 7,540.63

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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.