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Finding the Fourth Proportional to 7,070.32, 9,757.36 and 4,238.16

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Solution

The fourth proportional to 7,070.32, 9,757.36 and 4,238.16 is: 5,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.32 : 9,757.36 = 4,238.16 : x
  2. Step 2: Convert to fraction form
    7,070.32/9,757.36 = 4,238.16/x
  3. Step 3: Cross multiply
    7,070.32x = 9,757.36 × 4,238.16
  4. Step 4: Simplify right side
    7,070.32x = 41,353,221.57
  5. Step 5: Solve for x
    x = 41,353,221.57/7,070.32
  6. Step 6: Final answer
    x = 5,848.85

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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.