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Finding the Fourth Proportional to 6,507.14, 9,758.10 and 2,345.68

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Solution

The fourth proportional to 6,507.14, 9,758.10 and 2,345.68 is: 3,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.14 : 9,758.10 = 2,345.68 : x
  2. Step 2: Convert to fraction form
    6,507.14/9,758.10 = 2,345.68/x
  3. Step 3: Cross multiply
    6,507.14x = 9,758.10 × 2,345.68
  4. Step 4: Simplify right side
    6,507.14x = 22,889,331.22
  5. Step 5: Solve for x
    x = 22,889,331.22/6,507.14
  6. Step 6: Final answer
    x = 3,517.57

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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.