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Finding the Fourth Proportional to 9,276.30, 13,898.24 and 7,726.26

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Solution

The fourth proportional to 9,276.30, 13,898.24 and 7,726.26 is: 11,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.30 : 13,898.24 = 7,726.26 : x
  2. Step 2: Convert to fraction form
    9,276.30/13,898.24 = 7,726.26/x
  3. Step 3: Cross multiply
    9,276.30x = 13,898.24 × 7,726.26
  4. Step 4: Simplify right side
    9,276.30x = 107,381,415.78
  5. Step 5: Solve for x
    x = 107,381,415.78/9,276.30
  6. Step 6: Final answer
    x = 11,575.89

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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.