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Finding the Fourth Proportional to 6,595.12, 9,147.91 and 6,358.78

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Solution

The fourth proportional to 6,595.12, 9,147.91 and 6,358.78 is: 8,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.12 : 9,147.91 = 6,358.78 : x
  2. Step 2: Convert to fraction form
    6,595.12/9,147.91 = 6,358.78/x
  3. Step 3: Cross multiply
    6,595.12x = 9,147.91 × 6,358.78
  4. Step 4: Simplify right side
    6,595.12x = 58,169,547.15
  5. Step 5: Solve for x
    x = 58,169,547.15/6,595.12
  6. Step 6: Final answer
    x = 8,820.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.