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Finding the Fourth Proportional to 8,709.12, 12,012 and 6,055.20

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Solution

The fourth proportional to 8,709.12, 12,012 and 6,055.20 is: 8,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.12 : 12,012 = 6,055.20 : x
  2. Step 2: Convert to fraction form
    8,709.12/12,012 = 6,055.20/x
  3. Step 3: Cross multiply
    8,709.12x = 12,012 × 6,055.20
  4. Step 4: Simplify right side
    8,709.12x = 72,735,062.40
  5. Step 5: Solve for x
    x = 72,735,062.40/8,709.12
  6. Step 6: Final answer
    x = 8,351.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.