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Finding the Fourth Proportional to 9,076.49, 13,606.53 and 6,304.46

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Solution

The fourth proportional to 9,076.49, 13,606.53 and 6,304.46 is: 9,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.49 : 13,606.53 = 6,304.46 : x
  2. Step 2: Convert to fraction form
    9,076.49/13,606.53 = 6,304.46/x
  3. Step 3: Cross multiply
    9,076.49x = 13,606.53 × 6,304.46
  4. Step 4: Simplify right side
    9,076.49x = 85,781,834.50
  5. Step 5: Solve for x
    x = 85,781,834.50/9,076.49
  6. Step 6: Final answer
    x = 9,451.00

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Why These Related Problems?

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