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Finding the Fourth Proportional to 9,989.86, 14,991.47 and 4,146.47

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Solution

The fourth proportional to 9,989.86, 14,991.47 and 4,146.47 is: 6,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.86 : 14,991.47 = 4,146.47 : x
  2. Step 2: Convert to fraction form
    9,989.86/14,991.47 = 4,146.47/x
  3. Step 3: Cross multiply
    9,989.86x = 14,991.47 × 4,146.47
  4. Step 4: Simplify right side
    9,989.86x = 62,161,680.61
  5. Step 5: Solve for x
    x = 62,161,680.61/9,989.86
  6. Step 6: Final answer
    x = 6,222.48

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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.