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Finding the Fourth Proportional to 6,152.33, 9,227.76 and 1,710.33

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Solution

The fourth proportional to 6,152.33, 9,227.76 and 1,710.33 is: 2,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.33 : 9,227.76 = 1,710.33 : x
  2. Step 2: Convert to fraction form
    6,152.33/9,227.76 = 1,710.33/x
  3. Step 3: Cross multiply
    6,152.33x = 9,227.76 × 1,710.33
  4. Step 4: Simplify right side
    6,152.33x = 15,782,514.76
  5. Step 5: Solve for x
    x = 15,782,514.76/6,152.33
  6. Step 6: Final answer
    x = 2,565.29

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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.