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Finding the Fourth Proportional to 9,456.95, 13,052.95 and 5,480.46

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Solution

The fourth proportional to 9,456.95, 13,052.95 and 5,480.46 is: 7,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.95 : 13,052.95 = 5,480.46 : x
  2. Step 2: Convert to fraction form
    9,456.95/13,052.95 = 5,480.46/x
  3. Step 3: Cross multiply
    9,456.95x = 13,052.95 × 5,480.46
  4. Step 4: Simplify right side
    9,456.95x = 71,536,156.66
  5. Step 5: Solve for x
    x = 71,536,156.66/9,456.95
  6. Step 6: Final answer
    x = 7,564.40

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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.