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Finding the Fourth Proportional to 7,032.80, 9,705.72 and 4,049.60

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Solution

The fourth proportional to 7,032.80, 9,705.72 and 4,049.60 is: 5,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.80 : 9,705.72 = 4,049.60 : x
  2. Step 2: Convert to fraction form
    7,032.80/9,705.72 = 4,049.60/x
  3. Step 3: Cross multiply
    7,032.80x = 9,705.72 × 4,049.60
  4. Step 4: Simplify right side
    7,032.80x = 39,304,283.71
  5. Step 5: Solve for x
    x = 39,304,283.71/7,032.80
  6. Step 6: Final answer
    x = 5,588.71

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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.