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Finding the Fourth Proportional to 9,569.26, 14,354.97 and 4,374.46

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Solution

The fourth proportional to 9,569.26, 14,354.97 and 4,374.46 is: 6,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.26 : 14,354.97 = 4,374.46 : x
  2. Step 2: Convert to fraction form
    9,569.26/14,354.97 = 4,374.46/x
  3. Step 3: Cross multiply
    9,569.26x = 14,354.97 × 4,374.46
  4. Step 4: Simplify right side
    9,569.26x = 62,795,242.07
  5. Step 5: Solve for x
    x = 62,795,242.07/9,569.26
  6. Step 6: Final answer
    x = 6,562.18

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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.