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Finding the Fourth Proportional to 9,223.72, 13,825.86 and 4,597

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Solution

The fourth proportional to 9,223.72, 13,825.86 and 4,597 is: 6,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.72 : 13,825.86 = 4,597 : x
  2. Step 2: Convert to fraction form
    9,223.72/13,825.86 = 4,597/x
  3. Step 3: Cross multiply
    9,223.72x = 13,825.86 × 4,597
  4. Step 4: Simplify right side
    9,223.72x = 63,557,478.42
  5. Step 5: Solve for x
    x = 63,557,478.42/9,223.72
  6. Step 6: Final answer
    x = 6,890.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.