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Finding the Fourth Proportional to 28,298.97, 42,446.01 and 9,578.60

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Solution

The fourth proportional to 28,298.97, 42,446.01 and 9,578.60 is: 14,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,298.97 : 42,446.01 = 9,578.60 : x
  2. Step 2: Convert to fraction form
    28,298.97/42,446.01 = 9,578.60/x
  3. Step 3: Cross multiply
    28,298.97x = 42,446.01 × 9,578.60
  4. Step 4: Simplify right side
    28,298.97x = 406,573,519.13
  5. Step 5: Solve for x
    x = 406,573,519.13/28,298.97
  6. Step 6: Final answer
    x = 14,367.08

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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.