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Finding the Fourth Proportional to 9,220.68, 12,719.30 and 5,681.39

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Solution

The fourth proportional to 9,220.68, 12,719.30 and 5,681.39 is: 7,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.68 : 12,719.30 = 5,681.39 : x
  2. Step 2: Convert to fraction form
    9,220.68/12,719.30 = 5,681.39/x
  3. Step 3: Cross multiply
    9,220.68x = 12,719.30 × 5,681.39
  4. Step 4: Simplify right side
    9,220.68x = 72,263,211.82
  5. Step 5: Solve for x
    x = 72,263,211.82/9,220.68
  6. Step 6: Final answer
    x = 7,837.08

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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.