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Finding the Fourth Proportional to 28,196.39, 42,298.25 and 9,468.38

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Solution

The fourth proportional to 28,196.39, 42,298.25 and 9,468.38 is: 14,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,196.39 : 42,298.25 = 9,468.38 : x
  2. Step 2: Convert to fraction form
    28,196.39/42,298.25 = 9,468.38/x
  3. Step 3: Cross multiply
    28,196.39x = 42,298.25 × 9,468.38
  4. Step 4: Simplify right side
    28,196.39x = 400,495,962.74
  5. Step 5: Solve for x
    x = 400,495,962.74/28,196.39
  6. Step 6: Final answer
    x = 14,203.80

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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.