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Finding the Fourth Proportional to 9,362.84, 14,039.64 and 4,979.12

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Solution

The fourth proportional to 9,362.84, 14,039.64 and 4,979.12 is: 7,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.84 : 14,039.64 = 4,979.12 : x
  2. Step 2: Convert to fraction form
    9,362.84/14,039.64 = 4,979.12/x
  3. Step 3: Cross multiply
    9,362.84x = 14,039.64 × 4,979.12
  4. Step 4: Simplify right side
    9,362.84x = 69,905,052.32
  5. Step 5: Solve for x
    x = 69,905,052.32/9,362.84
  6. Step 6: Final answer
    x = 7,466.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.