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Finding the Fourth Proportional to 9,416.02, 14,098.62 and 5,901.84

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Solution

The fourth proportional to 9,416.02, 14,098.62 and 5,901.84 is: 8,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.02 : 14,098.62 = 5,901.84 : x
  2. Step 2: Convert to fraction form
    9,416.02/14,098.62 = 5,901.84/x
  3. Step 3: Cross multiply
    9,416.02x = 14,098.62 × 5,901.84
  4. Step 4: Simplify right side
    9,416.02x = 83,207,799.46
  5. Step 5: Solve for x
    x = 83,207,799.46/9,416.02
  6. Step 6: Final answer
    x = 8,836.83

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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.