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Finding the Fourth Proportional to 9,062.44, 12,506.50 and 5,285

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Solution

The fourth proportional to 9,062.44, 12,506.50 and 5,285 is: 7,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.44 : 12,506.50 = 5,285 : x
  2. Step 2: Convert to fraction form
    9,062.44/12,506.50 = 5,285/x
  3. Step 3: Cross multiply
    9,062.44x = 12,506.50 × 5,285
  4. Step 4: Simplify right side
    9,062.44x = 66,096,852.50
  5. Step 5: Solve for x
    x = 66,096,852.50/9,062.44
  6. Step 6: Final answer
    x = 7,293.49

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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.