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Finding the Fourth Proportional to 7,032.68, 9,705.30 and 3,889.16

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Solution

The fourth proportional to 7,032.68, 9,705.30 and 3,889.16 is: 5,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.68 : 9,705.30 = 3,889.16 : x
  2. Step 2: Convert to fraction form
    7,032.68/9,705.30 = 3,889.16/x
  3. Step 3: Cross multiply
    7,032.68x = 9,705.30 × 3,889.16
  4. Step 4: Simplify right side
    7,032.68x = 37,745,464.55
  5. Step 5: Solve for x
    x = 37,745,464.55/7,032.68
  6. Step 6: Final answer
    x = 5,367.15

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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.