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Finding the Fourth Proportional to 9,113.46, 13,673.64 and 3,570.78

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Solution

The fourth proportional to 9,113.46, 13,673.64 and 3,570.78 is: 5,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.46 : 13,673.64 = 3,570.78 : x
  2. Step 2: Convert to fraction form
    9,113.46/13,673.64 = 3,570.78/x
  3. Step 3: Cross multiply
    9,113.46x = 13,673.64 × 3,570.78
  4. Step 4: Simplify right side
    9,113.46x = 48,825,560.24
  5. Step 5: Solve for x
    x = 48,825,560.24/9,113.46
  6. Step 6: Final answer
    x = 5,357.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.