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Finding the Fourth Proportional to 9,278.02, 12,803.74 and 5,086.42

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Solution

The fourth proportional to 9,278.02, 12,803.74 and 5,086.42 is: 7,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.02 : 12,803.74 = 5,086.42 : x
  2. Step 2: Convert to fraction form
    9,278.02/12,803.74 = 5,086.42/x
  3. Step 3: Cross multiply
    9,278.02x = 12,803.74 × 5,086.42
  4. Step 4: Simplify right side
    9,278.02x = 65,125,199.21
  5. Step 5: Solve for x
    x = 65,125,199.21/9,278.02
  6. Step 6: Final answer
    x = 7,019.30

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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.