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Finding the Fourth Proportional to 9,417.36, 12,994.92 and 5,639.80

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Solution

The fourth proportional to 9,417.36, 12,994.92 and 5,639.80 is: 7,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.36 : 12,994.92 = 5,639.80 : x
  2. Step 2: Convert to fraction form
    9,417.36/12,994.92 = 5,639.80/x
  3. Step 3: Cross multiply
    9,417.36x = 12,994.92 × 5,639.80
  4. Step 4: Simplify right side
    9,417.36x = 73,288,749.82
  5. Step 5: Solve for x
    x = 73,288,749.82/9,417.36
  6. Step 6: Final answer
    x = 7,782.30

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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.