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Finding the Fourth Proportional to 28,415.32, 42,614.34 and 9,943

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Solution

The fourth proportional to 28,415.32, 42,614.34 and 9,943 is: 14,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,415.32 : 42,614.34 = 9,943 : x
  2. Step 2: Convert to fraction form
    28,415.32/42,614.34 = 9,943/x
  3. Step 3: Cross multiply
    28,415.32x = 42,614.34 × 9,943
  4. Step 4: Simplify right side
    28,415.32x = 423,714,382.62
  5. Step 5: Solve for x
    x = 423,714,382.62/28,415.32
  6. Step 6: Final answer
    x = 14,911.48

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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.