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Finding the Fourth Proportional to 9,760.57, 13,468.67 and 5,510.50

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Solution

The fourth proportional to 9,760.57, 13,468.67 and 5,510.50 is: 7,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.57 : 13,468.67 = 5,510.50 : x
  2. Step 2: Convert to fraction form
    9,760.57/13,468.67 = 5,510.50/x
  3. Step 3: Cross multiply
    9,760.57x = 13,468.67 × 5,510.50
  4. Step 4: Simplify right side
    9,760.57x = 74,219,106.04
  5. Step 5: Solve for x
    x = 74,219,106.04/9,760.57
  6. Step 6: Final answer
    x = 7,603.97

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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.