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Finding the Fourth Proportional to 10,384.20, 15,496.45 and 9,277

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Solution

The fourth proportional to 10,384.20, 15,496.45 and 9,277 is: 13,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.20 : 15,496.45 = 9,277 : x
  2. Step 2: Convert to fraction form
    10,384.20/15,496.45 = 9,277/x
  3. Step 3: Cross multiply
    10,384.20x = 15,496.45 × 9,277
  4. Step 4: Simplify right side
    10,384.20x = 143,760,566.65
  5. Step 5: Solve for x
    x = 143,760,566.65/10,384.20
  6. Step 6: Final answer
    x = 13,844.16

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