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Finding the Fourth Proportional to 9,047.36, 13,560.24 and 5,146.40

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Solution

The fourth proportional to 9,047.36, 13,560.24 and 5,146.40 is: 7,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.36 : 13,560.24 = 5,146.40 : x
  2. Step 2: Convert to fraction form
    9,047.36/13,560.24 = 5,146.40/x
  3. Step 3: Cross multiply
    9,047.36x = 13,560.24 × 5,146.40
  4. Step 4: Simplify right side
    9,047.36x = 69,786,419.14
  5. Step 5: Solve for x
    x = 69,786,419.14/9,047.36
  6. Step 6: Final answer
    x = 7,713.46

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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.