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Finding the Fourth Proportional to 7,051.98, 9,731.61 and 3,908.19

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Solution

The fourth proportional to 7,051.98, 9,731.61 and 3,908.19 is: 5,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.98 : 9,731.61 = 3,908.19 : x
  2. Step 2: Convert to fraction form
    7,051.98/9,731.61 = 3,908.19/x
  3. Step 3: Cross multiply
    7,051.98x = 9,731.61 × 3,908.19
  4. Step 4: Simplify right side
    7,051.98x = 38,032,980.89
  5. Step 5: Solve for x
    x = 38,032,980.89/7,051.98
  6. Step 6: Final answer
    x = 5,393.23

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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.