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Finding the Fourth Proportional to 9,524.25, 13,143.06 and 5,275.29

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Solution

The fourth proportional to 9,524.25, 13,143.06 and 5,275.29 is: 7,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.25 : 13,143.06 = 5,275.29 : x
  2. Step 2: Convert to fraction form
    9,524.25/13,143.06 = 5,275.29/x
  3. Step 3: Cross multiply
    9,524.25x = 13,143.06 × 5,275.29
  4. Step 4: Simplify right side
    9,524.25x = 69,333,502.27
  5. Step 5: Solve for x
    x = 69,333,502.27/9,524.25
  6. Step 6: Final answer
    x = 7,279.68

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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.