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Finding the Fourth Proportional to 6,569.10, 9,842.31 and 4,612.14

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Solution

The fourth proportional to 6,569.10, 9,842.31 and 4,612.14 is: 6,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.10 : 9,842.31 = 4,612.14 : x
  2. Step 2: Convert to fraction form
    6,569.10/9,842.31 = 4,612.14/x
  3. Step 3: Cross multiply
    6,569.10x = 9,842.31 × 4,612.14
  4. Step 4: Simplify right side
    6,569.10x = 45,394,111.64
  5. Step 5: Solve for x
    x = 45,394,111.64/6,569.10
  6. Step 6: Final answer
    x = 6,910.25

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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.