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Finding the Fourth Proportional to 9,574.13, 14,367.58 and 4,644.14

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Solution

The fourth proportional to 9,574.13, 14,367.58 and 4,644.14 is: 6,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.13 : 14,367.58 = 4,644.14 : x
  2. Step 2: Convert to fraction form
    9,574.13/14,367.58 = 4,644.14/x
  3. Step 3: Cross multiply
    9,574.13x = 14,367.58 × 4,644.14
  4. Step 4: Simplify right side
    9,574.13x = 66,724,969.53
  5. Step 5: Solve for x
    x = 66,724,969.53/9,574.13
  6. Step 6: Final answer
    x = 6,969.30

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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.