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Finding the Fourth Proportional to 9,639.48, 14,462.76 and 6,887.81

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Solution

The fourth proportional to 9,639.48, 14,462.76 and 6,887.81 is: 10,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.48 : 14,462.76 = 6,887.81 : x
  2. Step 2: Convert to fraction form
    9,639.48/14,462.76 = 6,887.81/x
  3. Step 3: Cross multiply
    9,639.48x = 14,462.76 × 6,887.81
  4. Step 4: Simplify right side
    9,639.48x = 99,616,742.96
  5. Step 5: Solve for x
    x = 99,616,742.96/9,639.48
  6. Step 6: Final answer
    x = 10,334.24

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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.