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Finding the Fourth Proportional to 9,727.65, 14,493.51 and 9,091.12

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Solution

The fourth proportional to 9,727.65, 14,493.51 and 9,091.12 is: 13,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.65 : 14,493.51 = 9,091.12 : x
  2. Step 2: Convert to fraction form
    9,727.65/14,493.51 = 9,091.12/x
  3. Step 3: Cross multiply
    9,727.65x = 14,493.51 × 9,091.12
  4. Step 4: Simplify right side
    9,727.65x = 131,762,238.63
  5. Step 5: Solve for x
    x = 131,762,238.63/9,727.65
  6. Step 6: Final answer
    x = 13,545.13

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.