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Finding the Fourth Proportional to 9,432.19, 14,148.23 and 2,412.19

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Solution

The fourth proportional to 9,432.19, 14,148.23 and 2,412.19 is: 3,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.19 : 14,148.23 = 2,412.19 : x
  2. Step 2: Convert to fraction form
    9,432.19/14,148.23 = 2,412.19/x
  3. Step 3: Cross multiply
    9,432.19x = 14,148.23 × 2,412.19
  4. Step 4: Simplify right side
    9,432.19x = 34,128,248.19
  5. Step 5: Solve for x
    x = 34,128,248.19/9,432.19
  6. Step 6: Final answer
    x = 3,618.27

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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.