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Finding the Fourth Proportional to 9,142.80, 12,608.23 and 7,726.52

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Solution

The fourth proportional to 9,142.80, 12,608.23 and 7,726.52 is: 10,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.80 : 12,608.23 = 7,726.52 : x
  2. Step 2: Convert to fraction form
    9,142.80/12,608.23 = 7,726.52/x
  3. Step 3: Cross multiply
    9,142.80x = 12,608.23 × 7,726.52
  4. Step 4: Simplify right side
    9,142.80x = 97,417,741.26
  5. Step 5: Solve for x
    x = 97,417,741.26/9,142.80
  6. Step 6: Final answer
    x = 10,655.13

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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.