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Finding the Fourth Proportional to 6,417.33, 9,624.06 and 2,719.50

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Solution

The fourth proportional to 6,417.33, 9,624.06 and 2,719.50 is: 4,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.33 : 9,624.06 = 2,719.50 : x
  2. Step 2: Convert to fraction form
    6,417.33/9,624.06 = 2,719.50/x
  3. Step 3: Cross multiply
    6,417.33x = 9,624.06 × 2,719.50
  4. Step 4: Simplify right side
    6,417.33x = 26,172,631.17
  5. Step 5: Solve for x
    x = 26,172,631.17/6,417.33
  6. Step 6: Final answer
    x = 4,078.43

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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.