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Finding the Fourth Proportional to 12,642.83, 17,447.19 and 6,977.76

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Solution

The fourth proportional to 12,642.83, 17,447.19 and 6,977.76 is: 9,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.83 : 17,447.19 = 6,977.76 : x
  2. Step 2: Convert to fraction form
    12,642.83/17,447.19 = 6,977.76/x
  3. Step 3: Cross multiply
    12,642.83x = 17,447.19 × 6,977.76
  4. Step 4: Simplify right side
    12,642.83x = 121,742,212.90
  5. Step 5: Solve for x
    x = 121,742,212.90/12,642.83
  6. Step 6: Final answer
    x = 9,629.35

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