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Finding the Fourth Proportional to 9,760.02, 13,468.85 and 5,283.82

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Solution

The fourth proportional to 9,760.02, 13,468.85 and 5,283.82 is: 7,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.02 : 13,468.85 = 5,283.82 : x
  2. Step 2: Convert to fraction form
    9,760.02/13,468.85 = 5,283.82/x
  3. Step 3: Cross multiply
    9,760.02x = 13,468.85 × 5,283.82
  4. Step 4: Simplify right side
    9,760.02x = 71,166,979.01
  5. Step 5: Solve for x
    x = 71,166,979.01/9,760.02
  6. Step 6: Final answer
    x = 7,291.68

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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.