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Finding the Fourth Proportional to 9,204.46, 12,703.10 and 5,428.85

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Solution

The fourth proportional to 9,204.46, 12,703.10 and 5,428.85 is: 7,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.46 : 12,703.10 = 5,428.85 : x
  2. Step 2: Convert to fraction form
    9,204.46/12,703.10 = 5,428.85/x
  3. Step 3: Cross multiply
    9,204.46x = 12,703.10 × 5,428.85
  4. Step 4: Simplify right side
    9,204.46x = 68,963,133.78
  5. Step 5: Solve for x
    x = 68,963,133.78/9,204.46
  6. Step 6: Final answer
    x = 7,492.36

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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.