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Finding the Fourth Proportional to 9,458.48, 14,188.54 and 2,884.74

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Solution

The fourth proportional to 9,458.48, 14,188.54 and 2,884.74 is: 4,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.48 : 14,188.54 = 2,884.74 : x
  2. Step 2: Convert to fraction form
    9,458.48/14,188.54 = 2,884.74/x
  3. Step 3: Cross multiply
    9,458.48x = 14,188.54 × 2,884.74
  4. Step 4: Simplify right side
    9,458.48x = 40,930,248.88
  5. Step 5: Solve for x
    x = 40,930,248.88/9,458.48
  6. Step 6: Final answer
    x = 4,327.36

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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.