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Finding the Fourth Proportional to 9,466.80, 13,063.23 and 5,489.16

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Solution

The fourth proportional to 9,466.80, 13,063.23 and 5,489.16 is: 7,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.80 : 13,063.23 = 5,489.16 : x
  2. Step 2: Convert to fraction form
    9,466.80/13,063.23 = 5,489.16/x
  3. Step 3: Cross multiply
    9,466.80x = 13,063.23 × 5,489.16
  4. Step 4: Simplify right side
    9,466.80x = 71,706,159.59
  5. Step 5: Solve for x
    x = 71,706,159.59/9,466.80
  6. Step 6: Final answer
    x = 7,574.49

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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.