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Finding the Fourth Proportional to 9,647.40, 13,318.38 and 6,295.08

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Solution

The fourth proportional to 9,647.40, 13,318.38 and 6,295.08 is: 8,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.40 : 13,318.38 = 6,295.08 : x
  2. Step 2: Convert to fraction form
    9,647.40/13,318.38 = 6,295.08/x
  3. Step 3: Cross multiply
    9,647.40x = 13,318.38 × 6,295.08
  4. Step 4: Simplify right side
    9,647.40x = 83,840,267.57
  5. Step 5: Solve for x
    x = 83,840,267.57/9,647.40
  6. Step 6: Final answer
    x = 8,690.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.