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Finding the Fourth Proportional to 9,607.71, 14,413.39 and 3,034.87

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Solution

The fourth proportional to 9,607.71, 14,413.39 and 3,034.87 is: 4,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.71 : 14,413.39 = 3,034.87 : x
  2. Step 2: Convert to fraction form
    9,607.71/14,413.39 = 3,034.87/x
  3. Step 3: Cross multiply
    9,607.71x = 14,413.39 × 3,034.87
  4. Step 4: Simplify right side
    9,607.71x = 43,742,738.36
  5. Step 5: Solve for x
    x = 43,742,738.36/9,607.71
  6. Step 6: Final answer
    x = 4,552.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.