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Finding the Fourth Proportional to 7,051.34, 9,730.57 and 3,907.73

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Solution

The fourth proportional to 7,051.34, 9,730.57 and 3,907.73 is: 5,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.34 : 9,730.57 = 3,907.73 : x
  2. Step 2: Convert to fraction form
    7,051.34/9,730.57 = 3,907.73/x
  3. Step 3: Cross multiply
    7,051.34x = 9,730.57 × 3,907.73
  4. Step 4: Simplify right side
    7,051.34x = 38,024,440.31
  5. Step 5: Solve for x
    x = 38,024,440.31/7,051.34
  6. Step 6: Final answer
    x = 5,392.51

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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.