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Finding the Fourth Proportional to 9,151.26, 13,726.89 and 5,256.78

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Solution

The fourth proportional to 9,151.26, 13,726.89 and 5,256.78 is: 7,885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.26 : 13,726.89 = 5,256.78 : x
  2. Step 2: Convert to fraction form
    9,151.26/13,726.89 = 5,256.78/x
  3. Step 3: Cross multiply
    9,151.26x = 13,726.89 × 5,256.78
  4. Step 4: Simplify right side
    9,151.26x = 72,159,240.81
  5. Step 5: Solve for x
    x = 72,159,240.81/9,151.26
  6. Step 6: Final answer
    x = 7,885.17

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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.