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Finding the Fourth Proportional to 9,211.83, 12,712.38 and 5,020.08

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Solution

The fourth proportional to 9,211.83, 12,712.38 and 5,020.08 is: 6,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.83 : 12,712.38 = 5,020.08 : x
  2. Step 2: Convert to fraction form
    9,211.83/12,712.38 = 5,020.08/x
  3. Step 3: Cross multiply
    9,211.83x = 12,712.38 × 5,020.08
  4. Step 4: Simplify right side
    9,211.83x = 63,817,164.59
  5. Step 5: Solve for x
    x = 63,817,164.59/9,211.83
  6. Step 6: Final answer
    x = 6,927.74

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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.