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Finding the Fourth Proportional to 9,530.70, 14,297.43 and 2,957.42

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Solution

The fourth proportional to 9,530.70, 14,297.43 and 2,957.42 is: 4,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.70 : 14,297.43 = 2,957.42 : x
  2. Step 2: Convert to fraction form
    9,530.70/14,297.43 = 2,957.42/x
  3. Step 3: Cross multiply
    9,530.70x = 14,297.43 × 2,957.42
  4. Step 4: Simplify right side
    9,530.70x = 42,283,433.94
  5. Step 5: Solve for x
    x = 42,283,433.94/9,530.70
  6. Step 6: Final answer
    x = 4,436.55

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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.