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Finding the Fourth Proportional to 9,549.16, 14,323.17 and 2,974.42

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Solution

The fourth proportional to 9,549.16, 14,323.17 and 2,974.42 is: 4,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.16 : 14,323.17 = 2,974.42 : x
  2. Step 2: Convert to fraction form
    9,549.16/14,323.17 = 2,974.42/x
  3. Step 3: Cross multiply
    9,549.16x = 14,323.17 × 2,974.42
  4. Step 4: Simplify right side
    9,549.16x = 42,603,123.31
  5. Step 5: Solve for x
    x = 42,603,123.31/9,549.16
  6. Step 6: Final answer
    x = 4,461.45

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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.