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Finding the Fourth Proportional to 9,152.33, 13,728.49 and 7,916.06

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Solution

The fourth proportional to 9,152.33, 13,728.49 and 7,916.06 is: 11,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.33 : 13,728.49 = 7,916.06 : x
  2. Step 2: Convert to fraction form
    9,152.33/13,728.49 = 7,916.06/x
  3. Step 3: Cross multiply
    9,152.33x = 13,728.49 × 7,916.06
  4. Step 4: Simplify right side
    9,152.33x = 108,675,565.08
  5. Step 5: Solve for x
    x = 108,675,565.08/9,152.33
  6. Step 6: Final answer
    x = 11,874.09

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Similar ratio
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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.