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Finding the Fourth Proportional to 9,415.18, 12,990.85 and 5,435.43

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Solution

The fourth proportional to 9,415.18, 12,990.85 and 5,435.43 is: 7,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.18 : 12,990.85 = 5,435.43 : x
  2. Step 2: Convert to fraction form
    9,415.18/12,990.85 = 5,435.43/x
  3. Step 3: Cross multiply
    9,415.18x = 12,990.85 × 5,435.43
  4. Step 4: Simplify right side
    9,415.18x = 70,610,855.82
  5. Step 5: Solve for x
    x = 70,610,855.82/9,415.18
  6. Step 6: Final answer
    x = 7,499.68

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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.