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Finding the Fourth Proportional to 9,203.61, 12,701.38 and 5,225.09

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Solution

The fourth proportional to 9,203.61, 12,701.38 and 5,225.09 is: 7,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.61 : 12,701.38 = 5,225.09 : x
  2. Step 2: Convert to fraction form
    9,203.61/12,701.38 = 5,225.09/x
  3. Step 3: Cross multiply
    9,203.61x = 12,701.38 × 5,225.09
  4. Step 4: Simplify right side
    9,203.61x = 66,365,872.31
  5. Step 5: Solve for x
    x = 66,365,872.31/9,203.61
  6. Step 6: Final answer
    x = 7,210.85

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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.