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Finding the Fourth Proportional to 9,842.47, 14,739.72 and 6,508.69

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Solution

The fourth proportional to 9,842.47, 14,739.72 and 6,508.69 is: 9,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.47 : 14,739.72 = 6,508.69 : x
  2. Step 2: Convert to fraction form
    9,842.47/14,739.72 = 6,508.69/x
  3. Step 3: Cross multiply
    9,842.47x = 14,739.72 × 6,508.69
  4. Step 4: Simplify right side
    9,842.47x = 95,936,268.17
  5. Step 5: Solve for x
    x = 95,936,268.17/9,842.47
  6. Step 6: Final answer
    x = 9,747.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.