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Finding the Fourth Proportional to 9,778.60, 14,669.04 and 4,233.32

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Solution

The fourth proportional to 9,778.60, 14,669.04 and 4,233.32 is: 6,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.60 : 14,669.04 = 4,233.32 : x
  2. Step 2: Convert to fraction form
    9,778.60/14,669.04 = 4,233.32/x
  3. Step 3: Cross multiply
    9,778.60x = 14,669.04 × 4,233.32
  4. Step 4: Simplify right side
    9,778.60x = 62,098,740.41
  5. Step 5: Solve for x
    x = 62,098,740.41/9,778.60
  6. Step 6: Final answer
    x = 6,350.47

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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.