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Finding the Fourth Proportional to 9,807.46, 13,534.23 and 5,615.71

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Solution

The fourth proportional to 9,807.46, 13,534.23 and 5,615.71 is: 7,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.46 : 13,534.23 = 5,615.71 : x
  2. Step 2: Convert to fraction form
    9,807.46/13,534.23 = 5,615.71/x
  3. Step 3: Cross multiply
    9,807.46x = 13,534.23 × 5,615.71
  4. Step 4: Simplify right side
    9,807.46x = 76,004,310.75
  5. Step 5: Solve for x
    x = 76,004,310.75/9,807.46
  6. Step 6: Final answer
    x = 7,749.64

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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.