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Finding the Fourth Proportional to 6,097.12, 9,145.74 and 1,714.66

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Solution

The fourth proportional to 6,097.12, 9,145.74 and 1,714.66 is: 2,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.12 : 9,145.74 = 1,714.66 : x
  2. Step 2: Convert to fraction form
    6,097.12/9,145.74 = 1,714.66/x
  3. Step 3: Cross multiply
    6,097.12x = 9,145.74 × 1,714.66
  4. Step 4: Simplify right side
    6,097.12x = 15,681,834.55
  5. Step 5: Solve for x
    x = 15,681,834.55/6,097.12
  6. Step 6: Final answer
    x = 2,572.01

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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.