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Finding the Fourth Proportional to 9,384.52, 14,062.88 and 3,831.16

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Solution

The fourth proportional to 9,384.52, 14,062.88 and 3,831.16 is: 5,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.52 : 14,062.88 = 3,831.16 : x
  2. Step 2: Convert to fraction form
    9,384.52/14,062.88 = 3,831.16/x
  3. Step 3: Cross multiply
    9,384.52x = 14,062.88 × 3,831.16
  4. Step 4: Simplify right side
    9,384.52x = 53,877,143.34
  5. Step 5: Solve for x
    x = 53,877,143.34/9,384.52
  6. Step 6: Final answer
    x = 5,741.07

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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.