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Finding the Fourth Proportional to 9,164.74, 12,647.38 and 4,973.02

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Solution

The fourth proportional to 9,164.74, 12,647.38 and 4,973.02 is: 6,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.74 : 12,647.38 = 4,973.02 : x
  2. Step 2: Convert to fraction form
    9,164.74/12,647.38 = 4,973.02/x
  3. Step 3: Cross multiply
    9,164.74x = 12,647.38 × 4,973.02
  4. Step 4: Simplify right side
    9,164.74x = 62,895,673.69
  5. Step 5: Solve for x
    x = 62,895,673.69/9,164.74
  6. Step 6: Final answer
    x = 6,862.79

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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.