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Finding the Fourth Proportional to 9,831.40, 14,727.90 and 9,140.20

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Solution

The fourth proportional to 9,831.40, 14,727.90 and 9,140.20 is: 13,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.40 : 14,727.90 = 9,140.20 : x
  2. Step 2: Convert to fraction form
    9,831.40/14,727.90 = 9,140.20/x
  3. Step 3: Cross multiply
    9,831.40x = 14,727.90 × 9,140.20
  4. Step 4: Simplify right side
    9,831.40x = 134,615,951.58
  5. Step 5: Solve for x
    x = 134,615,951.58/9,831.40
  6. Step 6: Final answer
    x = 13,692.45

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