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Finding the Fourth Proportional to 9,262.52, 12,782.24 and 6,119.36

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Solution

The fourth proportional to 9,262.52, 12,782.24 and 6,119.36 is: 8,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.52 : 12,782.24 = 6,119.36 : x
  2. Step 2: Convert to fraction form
    9,262.52/12,782.24 = 6,119.36/x
  3. Step 3: Cross multiply
    9,262.52x = 12,782.24 × 6,119.36
  4. Step 4: Simplify right side
    9,262.52x = 78,219,128.17
  5. Step 5: Solve for x
    x = 78,219,128.17/9,262.52
  6. Step 6: Final answer
    x = 8,444.69

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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.