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Finding the Fourth Proportional to 9,297.27, 13,931.04 and 8,353.11

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Solution

The fourth proportional to 9,297.27, 13,931.04 and 8,353.11 is: 12,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.27 : 13,931.04 = 8,353.11 : x
  2. Step 2: Convert to fraction form
    9,297.27/13,931.04 = 8,353.11/x
  3. Step 3: Cross multiply
    9,297.27x = 13,931.04 × 8,353.11
  4. Step 4: Simplify right side
    9,297.27x = 116,367,509.53
  5. Step 5: Solve for x
    x = 116,367,509.53/9,297.27
  6. Step 6: Final answer
    x = 12,516.31

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1.5x scale

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.