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Finding the Fourth Proportional to 9,221.42, 12,725.70 and 5,029.67

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Solution

The fourth proportional to 9,221.42, 12,725.70 and 5,029.67 is: 6,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.42 : 12,725.70 = 5,029.67 : x
  2. Step 2: Convert to fraction form
    9,221.42/12,725.70 = 5,029.67/x
  3. Step 3: Cross multiply
    9,221.42x = 12,725.70 × 5,029.67
  4. Step 4: Simplify right side
    9,221.42x = 64,006,071.52
  5. Step 5: Solve for x
    x = 64,006,071.52/9,221.42
  6. Step 6: Final answer
    x = 6,941.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.