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Finding the Fourth Proportional to 9,160.98, 13,733.28 and 4,478.34

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Solution

The fourth proportional to 9,160.98, 13,733.28 and 4,478.34 is: 6,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.98 : 13,733.28 = 4,478.34 : x
  2. Step 2: Convert to fraction form
    9,160.98/13,733.28 = 4,478.34/x
  3. Step 3: Cross multiply
    9,160.98x = 13,733.28 × 4,478.34
  4. Step 4: Simplify right side
    9,160.98x = 61,502,297.16
  5. Step 5: Solve for x
    x = 61,502,297.16/9,160.98
  6. Step 6: Final answer
    x = 6,713.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.