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Finding the Fourth Proportional to 6,903.82, 9,530.49 and 4,070.31

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Solution

The fourth proportional to 6,903.82, 9,530.49 and 4,070.31 is: 5,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.82 : 9,530.49 = 4,070.31 : x
  2. Step 2: Convert to fraction form
    6,903.82/9,530.49 = 4,070.31/x
  3. Step 3: Cross multiply
    6,903.82x = 9,530.49 × 4,070.31
  4. Step 4: Simplify right side
    6,903.82x = 38,792,048.75
  5. Step 5: Solve for x
    x = 38,792,048.75/6,903.82
  6. Step 6: Final answer
    x = 5,618.93

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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.