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Finding the Fourth Proportional to 9,275.24, 12,799.74 and 5,083.46

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Solution

The fourth proportional to 9,275.24, 12,799.74 and 5,083.46 is: 7,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.24 : 12,799.74 = 5,083.46 : x
  2. Step 2: Convert to fraction form
    9,275.24/12,799.74 = 5,083.46/x
  3. Step 3: Cross multiply
    9,275.24x = 12,799.74 × 5,083.46
  4. Step 4: Simplify right side
    9,275.24x = 65,066,966.30
  5. Step 5: Solve for x
    x = 65,066,966.30/9,275.24
  6. Step 6: Final answer
    x = 7,015.12

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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.