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Finding the Fourth Proportional to 9,013.24, 13,502.94 and 5,304.34

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Solution

The fourth proportional to 9,013.24, 13,502.94 and 5,304.34 is: 7,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.24 : 13,502.94 = 5,304.34 : x
  2. Step 2: Convert to fraction form
    9,013.24/13,502.94 = 5,304.34/x
  3. Step 3: Cross multiply
    9,013.24x = 13,502.94 × 5,304.34
  4. Step 4: Simplify right side
    9,013.24x = 71,624,184.76
  5. Step 5: Solve for x
    x = 71,624,184.76/9,013.24
  6. Step 6: Final answer
    x = 7,946.55

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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.