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Finding the Fourth Proportional to 9,617.12, 13,272.08 and 5,842.88

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Solution

The fourth proportional to 9,617.12, 13,272.08 and 5,842.88 is: 8,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.12 : 13,272.08 = 5,842.88 : x
  2. Step 2: Convert to fraction form
    9,617.12/13,272.08 = 5,842.88/x
  3. Step 3: Cross multiply
    9,617.12x = 13,272.08 × 5,842.88
  4. Step 4: Simplify right side
    9,617.12x = 77,547,170.79
  5. Step 5: Solve for x
    x = 77,547,170.79/9,617.12
  6. Step 6: Final answer
    x = 8,063.45

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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.