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Finding the Fourth Proportional to 9,264.95, 12,782.19 and 6,080.03

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Solution

The fourth proportional to 9,264.95, 12,782.19 and 6,080.03 is: 8,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.95 : 12,782.19 = 6,080.03 : x
  2. Step 2: Convert to fraction form
    9,264.95/12,782.19 = 6,080.03/x
  3. Step 3: Cross multiply
    9,264.95x = 12,782.19 × 6,080.03
  4. Step 4: Simplify right side
    9,264.95x = 77,716,034.75
  5. Step 5: Solve for x
    x = 77,716,034.75/9,264.95
  6. Step 6: Final answer
    x = 8,388.18

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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.