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Finding the Fourth Proportional to 9,419.04, 12,998.52 and 5,441.76

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Solution

The fourth proportional to 9,419.04, 12,998.52 and 5,441.76 is: 7,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.04 : 12,998.52 = 5,441.76 : x
  2. Step 2: Convert to fraction form
    9,419.04/12,998.52 = 5,441.76/x
  3. Step 3: Cross multiply
    9,419.04x = 12,998.52 × 5,441.76
  4. Step 4: Simplify right side
    9,419.04x = 70,734,826.20
  5. Step 5: Solve for x
    x = 70,734,826.20/9,419.04
  6. Step 6: Final answer
    x = 7,509.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.