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Finding the Fourth Proportional to 9,842.16, 13,583.25 and 6,064.52

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Solution

The fourth proportional to 9,842.16, 13,583.25 and 6,064.52 is: 8,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.16 : 13,583.25 = 6,064.52 : x
  2. Step 2: Convert to fraction form
    9,842.16/13,583.25 = 6,064.52/x
  3. Step 3: Cross multiply
    9,842.16x = 13,583.25 × 6,064.52
  4. Step 4: Simplify right side
    9,842.16x = 82,375,860.97
  5. Step 5: Solve for x
    x = 82,375,860.97/9,842.16
  6. Step 6: Final answer
    x = 8,369.69

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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.