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Finding the Fourth Proportional to 9,612.30, 14,430.15 and 5,455.20

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Solution

The fourth proportional to 9,612.30, 14,430.15 and 5,455.20 is: 8,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.30 : 14,430.15 = 5,455.20 : x
  2. Step 2: Convert to fraction form
    9,612.30/14,430.15 = 5,455.20/x
  3. Step 3: Cross multiply
    9,612.30x = 14,430.15 × 5,455.20
  4. Step 4: Simplify right side
    9,612.30x = 78,719,354.28
  5. Step 5: Solve for x
    x = 78,719,354.28/9,612.30
  6. Step 6: Final answer
    x = 8,189.44

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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.