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Finding the Fourth Proportional to 9,262.56, 12,782.40 and 5,071.20

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Solution

The fourth proportional to 9,262.56, 12,782.40 and 5,071.20 is: 6,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.56 : 12,782.40 = 5,071.20 : x
  2. Step 2: Convert to fraction form
    9,262.56/12,782.40 = 5,071.20/x
  3. Step 3: Cross multiply
    9,262.56x = 12,782.40 × 5,071.20
  4. Step 4: Simplify right side
    9,262.56x = 64,822,106.88
  5. Step 5: Solve for x
    x = 64,822,106.88/9,262.56
  6. Step 6: Final answer
    x = 6,998.29

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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.