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Finding the Fourth Proportional to 9,147.38, 12,623.40 and 4,955.63

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Solution

The fourth proportional to 9,147.38, 12,623.40 and 4,955.63 is: 6,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.38 : 12,623.40 = 4,955.63 : x
  2. Step 2: Convert to fraction form
    9,147.38/12,623.40 = 4,955.63/x
  3. Step 3: Cross multiply
    9,147.38x = 12,623.40 × 4,955.63
  4. Step 4: Simplify right side
    9,147.38x = 62,556,836.63
  5. Step 5: Solve for x
    x = 62,556,836.63/9,147.38
  6. Step 6: Final answer
    x = 6,838.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.