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Finding the Fourth Proportional to 7,051.32, 9,731.14 and 3,907.31

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Solution

The fourth proportional to 7,051.32, 9,731.14 and 3,907.31 is: 5,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.32 : 9,731.14 = 3,907.31 : x
  2. Step 2: Convert to fraction form
    7,051.32/9,731.14 = 3,907.31/x
  3. Step 3: Cross multiply
    7,051.32x = 9,731.14 × 3,907.31
  4. Step 4: Simplify right side
    7,051.32x = 38,022,522.21
  5. Step 5: Solve for x
    x = 38,022,522.21/7,051.32
  6. Step 6: Final answer
    x = 5,392.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.