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Finding the Fourth Proportional to 9,057.49, 13,566.16 and 6,962.07

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Solution

The fourth proportional to 9,057.49, 13,566.16 and 6,962.07 is: 10,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.49 : 13,566.16 = 6,962.07 : x
  2. Step 2: Convert to fraction form
    9,057.49/13,566.16 = 6,962.07/x
  3. Step 3: Cross multiply
    9,057.49x = 13,566.16 × 6,962.07
  4. Step 4: Simplify right side
    9,057.49x = 94,448,555.55
  5. Step 5: Solve for x
    x = 94,448,555.55/9,057.49
  6. Step 6: Final answer
    x = 10,427.67

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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.