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Finding the Fourth Proportional to 28,275.29, 42,412.50 and 9,568.47

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Solution

The fourth proportional to 28,275.29, 42,412.50 and 9,568.47 is: 14,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,275.29 : 42,412.50 = 9,568.47 : x
  2. Step 2: Convert to fraction form
    28,275.29/42,412.50 = 9,568.47/x
  3. Step 3: Cross multiply
    28,275.29x = 42,412.50 × 9,568.47
  4. Step 4: Simplify right side
    28,275.29x = 405,822,733.88
  5. Step 5: Solve for x
    x = 405,822,733.88/28,275.29
  6. Step 6: Final answer
    x = 14,352.56

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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.