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Finding the Fourth Proportional to 6,514.30, 9,785.85 and 4,570.30

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Solution

The fourth proportional to 6,514.30, 9,785.85 and 4,570.30 is: 6,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.30 : 9,785.85 = 4,570.30 : x
  2. Step 2: Convert to fraction form
    6,514.30/9,785.85 = 4,570.30/x
  3. Step 3: Cross multiply
    6,514.30x = 9,785.85 × 4,570.30
  4. Step 4: Simplify right side
    6,514.30x = 44,724,270.26
  5. Step 5: Solve for x
    x = 44,724,270.26/6,514.30
  6. Step 6: Final answer
    x = 6,865.55

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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.