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Finding the Fourth Proportional to 9,933.06, 13,706.10 and 5,740.50

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Solution

The fourth proportional to 9,933.06, 13,706.10 and 5,740.50 is: 7,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.06 : 13,706.10 = 5,740.50 : x
  2. Step 2: Convert to fraction form
    9,933.06/13,706.10 = 5,740.50/x
  3. Step 3: Cross multiply
    9,933.06x = 13,706.10 × 5,740.50
  4. Step 4: Simplify right side
    9,933.06x = 78,679,867.05
  5. Step 5: Solve for x
    x = 78,679,867.05/9,933.06
  6. Step 6: Final answer
    x = 7,921.01

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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.