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Finding the Fourth Proportional to 9,204.08, 12,702.08 and 5,225.12

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Solution

The fourth proportional to 9,204.08, 12,702.08 and 5,225.12 is: 7,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.08 : 12,702.08 = 5,225.12 : x
  2. Step 2: Convert to fraction form
    9,204.08/12,702.08 = 5,225.12/x
  3. Step 3: Cross multiply
    9,204.08x = 12,702.08 × 5,225.12
  4. Step 4: Simplify right side
    9,204.08x = 66,369,892.25
  5. Step 5: Solve for x
    x = 66,369,892.25/9,204.08
  6. Step 6: Final answer
    x = 7,210.92

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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.