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Finding the Fourth Proportional to 7,051.80, 9,731.46 and 3,907.99

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Solution

The fourth proportional to 7,051.80, 9,731.46 and 3,907.99 is: 5,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.80 : 9,731.46 = 3,907.99 : x
  2. Step 2: Convert to fraction form
    7,051.80/9,731.46 = 3,907.99/x
  3. Step 3: Cross multiply
    7,051.80x = 9,731.46 × 3,907.99
  4. Step 4: Simplify right side
    7,051.80x = 38,030,424.04
  5. Step 5: Solve for x
    x = 38,030,424.04/7,051.80
  6. Step 6: Final answer
    x = 5,393.01

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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.