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Finding the Fourth Proportional to 9,811.49, 13,537.81 and 5,831.15

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Solution

The fourth proportional to 9,811.49, 13,537.81 and 5,831.15 is: 8,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.49 : 13,537.81 = 5,831.15 : x
  2. Step 2: Convert to fraction form
    9,811.49/13,537.81 = 5,831.15/x
  3. Step 3: Cross multiply
    9,811.49x = 13,537.81 × 5,831.15
  4. Step 4: Simplify right side
    9,811.49x = 78,941,000.78
  5. Step 5: Solve for x
    x = 78,941,000.78/9,811.49
  6. Step 6: Final answer
    x = 8,045.77

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