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Finding the Fourth Proportional to 7,001.36, 9,661.70 and 3,977.04

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Solution

The fourth proportional to 7,001.36, 9,661.70 and 3,977.04 is: 5,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.36 : 9,661.70 = 3,977.04 : x
  2. Step 2: Convert to fraction form
    7,001.36/9,661.70 = 3,977.04/x
  3. Step 3: Cross multiply
    7,001.36x = 9,661.70 × 3,977.04
  4. Step 4: Simplify right side
    7,001.36x = 38,424,967.37
  5. Step 5: Solve for x
    x = 38,424,967.37/7,001.36
  6. Step 6: Final answer
    x = 5,488.21

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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.