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Finding the Fourth Proportional to 9,722.32, 14,574.80 and 3,564.88

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Solution

The fourth proportional to 9,722.32, 14,574.80 and 3,564.88 is: 5,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.32 : 14,574.80 = 3,564.88 : x
  2. Step 2: Convert to fraction form
    9,722.32/14,574.80 = 3,564.88/x
  3. Step 3: Cross multiply
    9,722.32x = 14,574.80 × 3,564.88
  4. Step 4: Simplify right side
    9,722.32x = 51,957,413.02
  5. Step 5: Solve for x
    x = 51,957,413.02/9,722.32
  6. Step 6: Final answer
    x = 5,344.14

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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.