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Finding the Fourth Proportional to 9,046.25, 12,483.81 and 5,013.34

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Solution

The fourth proportional to 9,046.25, 12,483.81 and 5,013.34 is: 6,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.25 : 12,483.81 = 5,013.34 : x
  2. Step 2: Convert to fraction form
    9,046.25/12,483.81 = 5,013.34/x
  3. Step 3: Cross multiply
    9,046.25x = 12,483.81 × 5,013.34
  4. Step 4: Simplify right side
    9,046.25x = 62,585,552.82
  5. Step 5: Solve for x
    x = 62,585,552.82/9,046.25
  6. Step 6: Final answer
    x = 6,918.40

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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.