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Finding the Fourth Proportional to 9,926.14, 14,860.05 and 7,831.48

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Solution

The fourth proportional to 9,926.14, 14,860.05 and 7,831.48 is: 11,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.14 : 14,860.05 = 7,831.48 : x
  2. Step 2: Convert to fraction form
    9,926.14/14,860.05 = 7,831.48/x
  3. Step 3: Cross multiply
    9,926.14x = 14,860.05 × 7,831.48
  4. Step 4: Simplify right side
    9,926.14x = 116,376,184.37
  5. Step 5: Solve for x
    x = 116,376,184.37/9,926.14
  6. Step 6: Final answer
    x = 11,724.21

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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.