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Finding the Fourth Proportional to 28,434.49, 42,642.49 and 9,454.02

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Solution

The fourth proportional to 28,434.49, 42,642.49 and 9,454.02 is: 14,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,434.49 : 42,642.49 = 9,454.02 : x
  2. Step 2: Convert to fraction form
    28,434.49/42,642.49 = 9,454.02/x
  3. Step 3: Cross multiply
    28,434.49x = 42,642.49 × 9,454.02
  4. Step 4: Simplify right side
    28,434.49x = 403,142,953.31
  5. Step 5: Solve for x
    x = 403,142,953.31/28,434.49
  6. Step 6: Final answer
    x = 14,177.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.