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Finding the Fourth Proportional to 9,025.32, 12,455 and 5,046.60

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Solution

The fourth proportional to 9,025.32, 12,455 and 5,046.60 is: 6,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.32 : 12,455 = 5,046.60 : x
  2. Step 2: Convert to fraction form
    9,025.32/12,455 = 5,046.60/x
  3. Step 3: Cross multiply
    9,025.32x = 12,455 × 5,046.60
  4. Step 4: Simplify right side
    9,025.32x = 62,855,403.00
  5. Step 5: Solve for x
    x = 62,855,403.00/9,025.32
  6. Step 6: Final answer
    x = 6,964.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.