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Finding the Fourth Proportional to 9,713.77, 13,404.98 and 5,464.83

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Solution

The fourth proportional to 9,713.77, 13,404.98 and 5,464.83 is: 7,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.77 : 13,404.98 = 5,464.83 : x
  2. Step 2: Convert to fraction form
    9,713.77/13,404.98 = 5,464.83/x
  3. Step 3: Cross multiply
    9,713.77x = 13,404.98 × 5,464.83
  4. Step 4: Simplify right side
    9,713.77x = 73,256,000.78
  5. Step 5: Solve for x
    x = 73,256,000.78/9,713.77
  6. Step 6: Final answer
    x = 7,541.46

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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.