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Finding the Fourth Proportional to 10,692.17, 14,753.44 and 9,831.95

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Solution

The fourth proportional to 10,692.17, 14,753.44 and 9,831.95 is: 13,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.17 : 14,753.44 = 9,831.95 : x
  2. Step 2: Convert to fraction form
    10,692.17/14,753.44 = 9,831.95/x
  3. Step 3: Cross multiply
    10,692.17x = 14,753.44 × 9,831.95
  4. Step 4: Simplify right side
    10,692.17x = 145,055,084.41
  5. Step 5: Solve for x
    x = 145,055,084.41/10,692.17
  6. Step 6: Final answer
    x = 13,566.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.