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Finding the Fourth Proportional to 9,726.40, 13,422.48 and 5,534.56

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Solution

The fourth proportional to 9,726.40, 13,422.48 and 5,534.56 is: 7,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.40 : 13,422.48 = 5,534.56 : x
  2. Step 2: Convert to fraction form
    9,726.40/13,422.48 = 5,534.56/x
  3. Step 3: Cross multiply
    9,726.40x = 13,422.48 × 5,534.56
  4. Step 4: Simplify right side
    9,726.40x = 74,287,520.91
  5. Step 5: Solve for x
    x = 74,287,520.91/9,726.40
  6. Step 6: Final answer
    x = 7,637.72

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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.