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Finding the Fourth Proportional to 6,404.74, 9,610.17 and 2,897.23

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Solution

The fourth proportional to 6,404.74, 9,610.17 and 2,897.23 is: 4,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.74 : 9,610.17 = 2,897.23 : x
  2. Step 2: Convert to fraction form
    6,404.74/9,610.17 = 2,897.23/x
  3. Step 3: Cross multiply
    6,404.74x = 9,610.17 × 2,897.23
  4. Step 4: Simplify right side
    6,404.74x = 27,842,872.83
  5. Step 5: Solve for x
    x = 27,842,872.83/6,404.74
  6. Step 6: Final answer
    x = 4,347.23

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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.