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Finding the Fourth Proportional to 9,567.26, 14,340.10 and 4,874.10

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Solution

The fourth proportional to 9,567.26, 14,340.10 and 4,874.10 is: 7,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.26 : 14,340.10 = 4,874.10 : x
  2. Step 2: Convert to fraction form
    9,567.26/14,340.10 = 4,874.10/x
  3. Step 3: Cross multiply
    9,567.26x = 14,340.10 × 4,874.10
  4. Step 4: Simplify right side
    9,567.26x = 69,895,081.41
  5. Step 5: Solve for x
    x = 69,895,081.41/9,567.26
  6. Step 6: Final answer
    x = 7,305.65

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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.