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Finding the Fourth Proportional to 9,901.42, 14,852.39 and 2,881.15

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Solution

The fourth proportional to 9,901.42, 14,852.39 and 2,881.15 is: 4,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.42 : 14,852.39 = 2,881.15 : x
  2. Step 2: Convert to fraction form
    9,901.42/14,852.39 = 2,881.15/x
  3. Step 3: Cross multiply
    9,901.42x = 14,852.39 × 2,881.15
  4. Step 4: Simplify right side
    9,901.42x = 42,791,963.45
  5. Step 5: Solve for x
    x = 42,791,963.45/9,901.42
  6. Step 6: Final answer
    x = 4,321.80

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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.