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Finding the Fourth Proportional to 9,135.96, 13,705.37 and 3,870.99

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Solution

The fourth proportional to 9,135.96, 13,705.37 and 3,870.99 is: 5,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.96 : 13,705.37 = 3,870.99 : x
  2. Step 2: Convert to fraction form
    9,135.96/13,705.37 = 3,870.99/x
  3. Step 3: Cross multiply
    9,135.96x = 13,705.37 × 3,870.99
  4. Step 4: Simplify right side
    9,135.96x = 53,053,330.86
  5. Step 5: Solve for x
    x = 53,053,330.86/9,135.96
  6. Step 6: Final answer
    x = 5,807.09

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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.