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Finding the Fourth Proportional to 30,387.12, 45,582.30 and 9,609

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Solution

The fourth proportional to 30,387.12, 45,582.30 and 9,609 is: 14,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,387.12 : 45,582.30 = 9,609 : x
  2. Step 2: Convert to fraction form
    30,387.12/45,582.30 = 9,609/x
  3. Step 3: Cross multiply
    30,387.12x = 45,582.30 × 9,609
  4. Step 4: Simplify right side
    30,387.12x = 438,000,320.70
  5. Step 5: Solve for x
    x = 438,000,320.70/30,387.12
  6. Step 6: Final answer
    x = 14,414.01

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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.