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Finding the Fourth Proportional to 9,574.56, 14,362.60 and 2,649.04

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Solution

The fourth proportional to 9,574.56, 14,362.60 and 2,649.04 is: 3,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.56 : 14,362.60 = 2,649.04 : x
  2. Step 2: Convert to fraction form
    9,574.56/14,362.60 = 2,649.04/x
  3. Step 3: Cross multiply
    9,574.56x = 14,362.60 × 2,649.04
  4. Step 4: Simplify right side
    9,574.56x = 38,047,101.90
  5. Step 5: Solve for x
    x = 38,047,101.90/9,574.56
  6. Step 6: Final answer
    x = 3,973.77

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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.