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Finding the Fourth Proportional to 9,708.57, 14,583.60 and 6,952.95

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Solution

The fourth proportional to 9,708.57, 14,583.60 and 6,952.95 is: 10,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.57 : 14,583.60 = 6,952.95 : x
  2. Step 2: Convert to fraction form
    9,708.57/14,583.60 = 6,952.95/x
  3. Step 3: Cross multiply
    9,708.57x = 14,583.60 × 6,952.95
  4. Step 4: Simplify right side
    9,708.57x = 101,399,041.62
  5. Step 5: Solve for x
    x = 101,399,041.62/9,708.57
  6. Step 6: Final answer
    x = 10,444.28

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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.