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Finding the Fourth Proportional to 9,639.98, 13,305.15 and 5,663.18

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Solution

The fourth proportional to 9,639.98, 13,305.15 and 5,663.18 is: 7,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.98 : 13,305.15 = 5,663.18 : x
  2. Step 2: Convert to fraction form
    9,639.98/13,305.15 = 5,663.18/x
  3. Step 3: Cross multiply
    9,639.98x = 13,305.15 × 5,663.18
  4. Step 4: Simplify right side
    9,639.98x = 75,349,459.38
  5. Step 5: Solve for x
    x = 75,349,459.38/9,639.98
  6. Step 6: Final answer
    x = 7,816.35

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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.