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Finding the Fourth Proportional to 9,831.40, 14,741.05 and 4,827.41

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Solution

The fourth proportional to 9,831.40, 14,741.05 and 4,827.41 is: 7,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.40 : 14,741.05 = 4,827.41 : x
  2. Step 2: Convert to fraction form
    9,831.40/14,741.05 = 4,827.41/x
  3. Step 3: Cross multiply
    9,831.40x = 14,741.05 × 4,827.41
  4. Step 4: Simplify right side
    9,831.40x = 71,161,092.18
  5. Step 5: Solve for x
    x = 71,161,092.18/9,831.40
  6. Step 6: Final answer
    x = 7,238.14

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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.