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Finding the Fourth Proportional to 9,990.70, 13,785.33 and 6,406.30

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Solution

The fourth proportional to 9,990.70, 13,785.33 and 6,406.30 is: 8,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.70 : 13,785.33 = 6,406.30 : x
  2. Step 2: Convert to fraction form
    9,990.70/13,785.33 = 6,406.30/x
  3. Step 3: Cross multiply
    9,990.70x = 13,785.33 × 6,406.30
  4. Step 4: Simplify right side
    9,990.70x = 88,312,959.58
  5. Step 5: Solve for x
    x = 88,312,959.58/9,990.70
  6. Step 6: Final answer
    x = 8,839.52

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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.