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Finding the Fourth Proportional to 9,734.43, 14,598.38 and 3,159

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Solution

The fourth proportional to 9,734.43, 14,598.38 and 3,159 is: 4,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.43 : 14,598.38 = 3,159 : x
  2. Step 2: Convert to fraction form
    9,734.43/14,598.38 = 3,159/x
  3. Step 3: Cross multiply
    9,734.43x = 14,598.38 × 3,159
  4. Step 4: Simplify right side
    9,734.43x = 46,116,272.55
  5. Step 5: Solve for x
    x = 46,116,272.55/9,734.43
  6. Step 6: Final answer
    x = 4,737.44

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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.