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Finding the Fourth Proportional to 9,204.34, 12,702.22 and 5,225.94

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Solution

The fourth proportional to 9,204.34, 12,702.22 and 5,225.94 is: 7,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.34 : 12,702.22 = 5,225.94 : x
  2. Step 2: Convert to fraction form
    9,204.34/12,702.22 = 5,225.94/x
  3. Step 3: Cross multiply
    9,204.34x = 12,702.22 × 5,225.94
  4. Step 4: Simplify right side
    9,204.34x = 66,381,039.59
  5. Step 5: Solve for x
    x = 66,381,039.59/9,204.34
  6. Step 6: Final answer
    x = 7,211.93

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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.