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Finding the Fourth Proportional to 28,275.27, 42,413 and 9,555.46

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Solution

The fourth proportional to 28,275.27, 42,413 and 9,555.46 is: 14,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,275.27 : 42,413 = 9,555.46 : x
  2. Step 2: Convert to fraction form
    28,275.27/42,413 = 9,555.46/x
  3. Step 3: Cross multiply
    28,275.27x = 42,413 × 9,555.46
  4. Step 4: Simplify right side
    28,275.27x = 405,275,724.98
  5. Step 5: Solve for x
    x = 405,275,724.98/28,275.27
  6. Step 6: Final answer
    x = 14,333.22

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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.