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Finding the Fourth Proportional to 9,822.39, 14,737.31 and 4,559.93

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Solution

The fourth proportional to 9,822.39, 14,737.31 and 4,559.93 is: 6,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.39 : 14,737.31 = 4,559.93 : x
  2. Step 2: Convert to fraction form
    9,822.39/14,737.31 = 4,559.93/x
  3. Step 3: Cross multiply
    9,822.39x = 14,737.31 × 4,559.93
  4. Step 4: Simplify right side
    9,822.39x = 67,201,005.50
  5. Step 5: Solve for x
    x = 67,201,005.50/9,822.39
  6. Step 6: Final answer
    x = 6,841.61

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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.