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Finding the Fourth Proportional to 9,885.36, 14,831.76 and 5,138.56

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Solution

The fourth proportional to 9,885.36, 14,831.76 and 5,138.56 is: 7,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.36 : 14,831.76 = 5,138.56 : x
  2. Step 2: Convert to fraction form
    9,885.36/14,831.76 = 5,138.56/x
  3. Step 3: Cross multiply
    9,885.36x = 14,831.76 × 5,138.56
  4. Step 4: Simplify right side
    9,885.36x = 76,213,888.67
  5. Step 5: Solve for x
    x = 76,213,888.67/9,885.36
  6. Step 6: Final answer
    x = 7,709.77

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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.