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Finding the Fourth Proportional to 9,624.71, 13,281.95 and 5,375.84

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Solution

The fourth proportional to 9,624.71, 13,281.95 and 5,375.84 is: 7,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.71 : 13,281.95 = 5,375.84 : x
  2. Step 2: Convert to fraction form
    9,624.71/13,281.95 = 5,375.84/x
  3. Step 3: Cross multiply
    9,624.71x = 13,281.95 × 5,375.84
  4. Step 4: Simplify right side
    9,624.71x = 71,401,585.12
  5. Step 5: Solve for x
    x = 71,401,585.12/9,624.71
  6. Step 6: Final answer
    x = 7,418.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.