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Finding the Fourth Proportional to 9,957.69, 14,938.96 and 3,032.19

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Solution

The fourth proportional to 9,957.69, 14,938.96 and 3,032.19 is: 4,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.69 : 14,938.96 = 3,032.19 : x
  2. Step 2: Convert to fraction form
    9,957.69/14,938.96 = 3,032.19/x
  3. Step 3: Cross multiply
    9,957.69x = 14,938.96 × 3,032.19
  4. Step 4: Simplify right side
    9,957.69x = 45,297,765.12
  5. Step 5: Solve for x
    x = 45,297,765.12/9,957.69
  6. Step 6: Final answer
    x = 4,549.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.