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Finding the Fourth Proportional to 9,025.42, 12,454.86 and 5,047

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Solution

The fourth proportional to 9,025.42, 12,454.86 and 5,047 is: 6,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.42 : 12,454.86 = 5,047 : x
  2. Step 2: Convert to fraction form
    9,025.42/12,454.86 = 5,047/x
  3. Step 3: Cross multiply
    9,025.42x = 12,454.86 × 5,047
  4. Step 4: Simplify right side
    9,025.42x = 62,859,678.42
  5. Step 5: Solve for x
    x = 62,859,678.42/9,025.42
  6. Step 6: Final answer
    x = 6,964.74

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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.