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Finding the Fourth Proportional to 7,199.96, 9,935.51 and 4,013.06

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Solution

The fourth proportional to 7,199.96, 9,935.51 and 4,013.06 is: 5,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.96 : 9,935.51 = 4,013.06 : x
  2. Step 2: Convert to fraction form
    7,199.96/9,935.51 = 4,013.06/x
  3. Step 3: Cross multiply
    7,199.96x = 9,935.51 × 4,013.06
  4. Step 4: Simplify right side
    7,199.96x = 39,871,728.02
  5. Step 5: Solve for x
    x = 39,871,728.02/7,199.96
  6. Step 6: Final answer
    x = 5,537.77

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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.