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Finding the Fourth Proportional to 9,572.25, 14,356.75 and 2,645.13

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Solution

The fourth proportional to 9,572.25, 14,356.75 and 2,645.13 is: 3,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.25 : 14,356.75 = 2,645.13 : x
  2. Step 2: Convert to fraction form
    9,572.25/14,356.75 = 2,645.13/x
  3. Step 3: Cross multiply
    9,572.25x = 14,356.75 × 2,645.13
  4. Step 4: Simplify right side
    9,572.25x = 37,975,391.73
  5. Step 5: Solve for x
    x = 37,975,391.73/9,572.25
  6. Step 6: Final answer
    x = 3,967.24

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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.