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Finding the Fourth Proportional to 9,577.13, 13,224.75 and 7,063.60

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Solution

The fourth proportional to 9,577.13, 13,224.75 and 7,063.60 is: 9,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.13 : 13,224.75 = 7,063.60 : x
  2. Step 2: Convert to fraction form
    9,577.13/13,224.75 = 7,063.60/x
  3. Step 3: Cross multiply
    9,577.13x = 13,224.75 × 7,063.60
  4. Step 4: Simplify right side
    9,577.13x = 93,414,344.10
  5. Step 5: Solve for x
    x = 93,414,344.10/9,577.13
  6. Step 6: Final answer
    x = 9,753.90

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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.