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Finding the Fourth Proportional to 8,336.84, 11,509.01 and 6,444.14

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Solution

The fourth proportional to 8,336.84, 11,509.01 and 6,444.14 is: 8,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.84 : 11,509.01 = 6,444.14 : x
  2. Step 2: Convert to fraction form
    8,336.84/11,509.01 = 6,444.14/x
  3. Step 3: Cross multiply
    8,336.84x = 11,509.01 × 6,444.14
  4. Step 4: Simplify right side
    8,336.84x = 74,165,606.10
  5. Step 5: Solve for x
    x = 74,165,606.10/8,336.84
  6. Step 6: Final answer
    x = 8,896.13

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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.