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Finding the Fourth Proportional to 6,417.19, 9,624.84 and 3,950.74

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Solution

The fourth proportional to 6,417.19, 9,624.84 and 3,950.74 is: 5,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.19 : 9,624.84 = 3,950.74 : x
  2. Step 2: Convert to fraction form
    6,417.19/9,624.84 = 3,950.74/x
  3. Step 3: Cross multiply
    6,417.19x = 9,624.84 × 3,950.74
  4. Step 4: Simplify right side
    6,417.19x = 38,025,240.38
  5. Step 5: Solve for x
    x = 38,025,240.38/6,417.19
  6. Step 6: Final answer
    x = 5,925.53

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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.