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Finding the Fourth Proportional to 9,971.39, 14,839.39 and 9,639.19

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Solution

The fourth proportional to 9,971.39, 14,839.39 and 9,639.19 is: 14,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.39 : 14,839.39 = 9,639.19 : x
  2. Step 2: Convert to fraction form
    9,971.39/14,839.39 = 9,639.19/x
  3. Step 3: Cross multiply
    9,971.39x = 14,839.39 × 9,639.19
  4. Step 4: Simplify right side
    9,971.39x = 143,039,592.60
  5. Step 5: Solve for x
    x = 143,039,592.60/9,971.39
  6. Step 6: Final answer
    x = 14,345.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.