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Finding the Fourth Proportional to 6,994.80, 10,440.90 and 6,120

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Solution

The fourth proportional to 6,994.80, 10,440.90 and 6,120 is: 9,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.80 : 10,440.90 = 6,120 : x
  2. Step 2: Convert to fraction form
    6,994.80/10,440.90 = 6,120/x
  3. Step 3: Cross multiply
    6,994.80x = 10,440.90 × 6,120
  4. Step 4: Simplify right side
    6,994.80x = 63,898,308
  5. Step 5: Solve for x
    x = 63,898,308/6,994.80
  6. Step 6: Final answer
    x = 9,135.12

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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.