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Finding the Fourth Proportional to 9,221.50, 12,725.94 and 5,030.02

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Solution

The fourth proportional to 9,221.50, 12,725.94 and 5,030.02 is: 6,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.50 : 12,725.94 = 5,030.02 : x
  2. Step 2: Convert to fraction form
    9,221.50/12,725.94 = 5,030.02/x
  3. Step 3: Cross multiply
    9,221.50x = 12,725.94 × 5,030.02
  4. Step 4: Simplify right side
    9,221.50x = 64,011,732.72
  5. Step 5: Solve for x
    x = 64,011,732.72/9,221.50
  6. Step 6: Final answer
    x = 6,941.57

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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.