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Finding the Fourth Proportional to 6,905.34, 9,529.76 and 4,074.36

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Solution

The fourth proportional to 6,905.34, 9,529.76 and 4,074.36 is: 5,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.34 : 9,529.76 = 4,074.36 : x
  2. Step 2: Convert to fraction form
    6,905.34/9,529.76 = 4,074.36/x
  3. Step 3: Cross multiply
    6,905.34x = 9,529.76 × 4,074.36
  4. Step 4: Simplify right side
    6,905.34x = 38,827,672.95
  5. Step 5: Solve for x
    x = 38,827,672.95/6,905.34
  6. Step 6: Final answer
    x = 5,622.85

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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.