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Finding the Fourth Proportional to 28,418.32, 42,627.48 and 9,946

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Solution

The fourth proportional to 28,418.32, 42,627.48 and 9,946 is: 14,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,418.32 : 42,627.48 = 9,946 : x
  2. Step 2: Convert to fraction form
    28,418.32/42,627.48 = 9,946/x
  3. Step 3: Cross multiply
    28,418.32x = 42,627.48 × 9,946
  4. Step 4: Simplify right side
    28,418.32x = 423,972,916.08
  5. Step 5: Solve for x
    x = 423,972,916.08/28,418.32
  6. Step 6: Final answer
    x = 14,919.00

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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.