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Finding the Fourth Proportional to 9,297, 13,946.80 and 2,723.66

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Solution

The fourth proportional to 9,297, 13,946.80 and 2,723.66 is: 4,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297 : 13,946.80 = 2,723.66 : x
  2. Step 2: Convert to fraction form
    9,297/13,946.80 = 2,723.66/x
  3. Step 3: Cross multiply
    9,297x = 13,946.80 × 2,723.66
  4. Step 4: Simplify right side
    9,297x = 37,986,341.29
  5. Step 5: Solve for x
    x = 37,986,341.29/9,297
  6. Step 6: Final answer
    x = 4,085.87

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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.