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Finding the Fourth Proportional to 9,842.25, 13,582.31 and 6,306.14

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Solution

The fourth proportional to 9,842.25, 13,582.31 and 6,306.14 is: 8,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.25 : 13,582.31 = 6,306.14 : x
  2. Step 2: Convert to fraction form
    9,842.25/13,582.31 = 6,306.14/x
  3. Step 3: Cross multiply
    9,842.25x = 13,582.31 × 6,306.14
  4. Step 4: Simplify right side
    9,842.25x = 85,651,950.81
  5. Step 5: Solve for x
    x = 85,651,950.81/9,842.25
  6. Step 6: Final answer
    x = 8,702.48

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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.