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Finding the Fourth Proportional to 9,807.24, 13,534.02 and 5,615.56

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Solution

The fourth proportional to 9,807.24, 13,534.02 and 5,615.56 is: 7,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.24 : 13,534.02 = 5,615.56 : x
  2. Step 2: Convert to fraction form
    9,807.24/13,534.02 = 5,615.56/x
  3. Step 3: Cross multiply
    9,807.24x = 13,534.02 × 5,615.56
  4. Step 4: Simplify right side
    9,807.24x = 76,001,101.35
  5. Step 5: Solve for x
    x = 76,001,101.35/9,807.24
  6. Step 6: Final answer
    x = 7,749.49

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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.