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Finding the Fourth Proportional to 9,719.73, 14,549.45 and 7,855.29

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Solution

The fourth proportional to 9,719.73, 14,549.45 and 7,855.29 is: 11,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.73 : 14,549.45 = 7,855.29 : x
  2. Step 2: Convert to fraction form
    9,719.73/14,549.45 = 7,855.29/x
  3. Step 3: Cross multiply
    9,719.73x = 14,549.45 × 7,855.29
  4. Step 4: Simplify right side
    9,719.73x = 114,290,109.81
  5. Step 5: Solve for x
    x = 114,290,109.81/9,719.73
  6. Step 6: Final answer
    x = 11,758.57

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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.