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Finding the Fourth Proportional to 7,101.96, 9,804.78 and 5,410.08

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Solution

The fourth proportional to 7,101.96, 9,804.78 and 5,410.08 is: 7,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.96 : 9,804.78 = 5,410.08 : x
  2. Step 2: Convert to fraction form
    7,101.96/9,804.78 = 5,410.08/x
  3. Step 3: Cross multiply
    7,101.96x = 9,804.78 × 5,410.08
  4. Step 4: Simplify right side
    7,101.96x = 53,044,644.18
  5. Step 5: Solve for x
    x = 53,044,644.18/7,101.96
  6. Step 6: Final answer
    x = 7,469.01

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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.