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Finding the Fourth Proportional to 9,204.84, 13,808.98 and 5,042.55

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Solution

The fourth proportional to 9,204.84, 13,808.98 and 5,042.55 is: 7,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.84 : 13,808.98 = 5,042.55 : x
  2. Step 2: Convert to fraction form
    9,204.84/13,808.98 = 5,042.55/x
  3. Step 3: Cross multiply
    9,204.84x = 13,808.98 × 5,042.55
  4. Step 4: Simplify right side
    9,204.84x = 69,632,530.19
  5. Step 5: Solve for x
    x = 69,632,530.19/9,204.84
  6. Step 6: Final answer
    x = 7,564.77

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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.