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Finding the Fourth Proportional to 9,207.76, 12,706.70 and 5,016

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Solution

The fourth proportional to 9,207.76, 12,706.70 and 5,016 is: 6,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.76 : 12,706.70 = 5,016 : x
  2. Step 2: Convert to fraction form
    9,207.76/12,706.70 = 5,016/x
  3. Step 3: Cross multiply
    9,207.76x = 12,706.70 × 5,016
  4. Step 4: Simplify right side
    9,207.76x = 63,736,807.20
  5. Step 5: Solve for x
    x = 63,736,807.20/9,207.76
  6. Step 6: Final answer
    x = 6,922.08

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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.