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Finding the Fourth Proportional to 9,312.80, 12,852 and 5,121.20

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Solution

The fourth proportional to 9,312.80, 12,852 and 5,121.20 is: 7,067.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.80 : 12,852 = 5,121.20 : x
  2. Step 2: Convert to fraction form
    9,312.80/12,852 = 5,121.20/x
  3. Step 3: Cross multiply
    9,312.80x = 12,852 × 5,121.20
  4. Step 4: Simplify right side
    9,312.80x = 65,817,662.40
  5. Step 5: Solve for x
    x = 65,817,662.40/9,312.80
  6. Step 6: Final answer
    x = 7,067.44

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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.