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Finding the Fourth Proportional to 9,046.24, 12,454.80 and 7,054.24

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Solution

The fourth proportional to 9,046.24, 12,454.80 and 7,054.24 is: 9,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.24 : 12,454.80 = 7,054.24 : x
  2. Step 2: Convert to fraction form
    9,046.24/12,454.80 = 7,054.24/x
  3. Step 3: Cross multiply
    9,046.24x = 12,454.80 × 7,054.24
  4. Step 4: Simplify right side
    9,046.24x = 87,859,148.35
  5. Step 5: Solve for x
    x = 87,859,148.35/9,046.24
  6. Step 6: Final answer
    x = 9,712.23

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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.