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Finding the Fourth Proportional to 9,074.64, 12,524.02 and 5,097.02

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Solution

The fourth proportional to 9,074.64, 12,524.02 and 5,097.02 is: 7,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.64 : 12,524.02 = 5,097.02 : x
  2. Step 2: Convert to fraction form
    9,074.64/12,524.02 = 5,097.02/x
  3. Step 3: Cross multiply
    9,074.64x = 12,524.02 × 5,097.02
  4. Step 4: Simplify right side
    9,074.64x = 63,835,180.42
  5. Step 5: Solve for x
    x = 63,835,180.42/9,074.64
  6. Step 6: Final answer
    x = 7,034.46

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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.