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Finding the Fourth Proportional to 6,097.86, 9,146.88 and 3,501

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Solution

The fourth proportional to 6,097.86, 9,146.88 and 3,501 is: 5,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.86 : 9,146.88 = 3,501 : x
  2. Step 2: Convert to fraction form
    6,097.86/9,146.88 = 3,501/x
  3. Step 3: Cross multiply
    6,097.86x = 9,146.88 × 3,501
  4. Step 4: Simplify right side
    6,097.86x = 32,023,226.88
  5. Step 5: Solve for x
    x = 32,023,226.88/6,097.86
  6. Step 6: Final answer
    x = 5,251.55

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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.