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Finding the Fourth Proportional to 10,041.89, 14,973.05 and 9,766.02

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Solution

The fourth proportional to 10,041.89, 14,973.05 and 9,766.02 is: 14,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.89 : 14,973.05 = 9,766.02 : x
  2. Step 2: Convert to fraction form
    10,041.89/14,973.05 = 9,766.02/x
  3. Step 3: Cross multiply
    10,041.89x = 14,973.05 × 9,766.02
  4. Step 4: Simplify right side
    10,041.89x = 146,227,067.52
  5. Step 5: Solve for x
    x = 146,227,067.52/10,041.89
  6. Step 6: Final answer
    x = 14,561.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.