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Finding the Fourth Proportional to 9,483.81, 14,232.06 and 3,937.16

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Solution

The fourth proportional to 9,483.81, 14,232.06 and 3,937.16 is: 5,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.81 : 14,232.06 = 3,937.16 : x
  2. Step 2: Convert to fraction form
    9,483.81/14,232.06 = 3,937.16/x
  3. Step 3: Cross multiply
    9,483.81x = 14,232.06 × 3,937.16
  4. Step 4: Simplify right side
    9,483.81x = 56,033,818.81
  5. Step 5: Solve for x
    x = 56,033,818.81/9,483.81
  6. Step 6: Final answer
    x = 5,908.37

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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.