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Finding the Fourth Proportional to 6,903.89, 10,303.67 and 6,435.71

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Solution

The fourth proportional to 6,903.89, 10,303.67 and 6,435.71 is: 9,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.89 : 10,303.67 = 6,435.71 : x
  2. Step 2: Convert to fraction form
    6,903.89/10,303.67 = 6,435.71/x
  3. Step 3: Cross multiply
    6,903.89x = 10,303.67 × 6,435.71
  4. Step 4: Simplify right side
    6,903.89x = 66,311,348.36
  5. Step 5: Solve for x
    x = 66,311,348.36/6,903.89
  6. Step 6: Final answer
    x = 9,604.93

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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.