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Finding the Fourth Proportional to 9,424.98, 12,968.10 and 8,647.38

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Solution

The fourth proportional to 9,424.98, 12,968.10 and 8,647.38 is: 11,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.98 : 12,968.10 = 8,647.38 : x
  2. Step 2: Convert to fraction form
    9,424.98/12,968.10 = 8,647.38/x
  3. Step 3: Cross multiply
    9,424.98x = 12,968.10 × 8,647.38
  4. Step 4: Simplify right side
    9,424.98x = 112,140,088.58
  5. Step 5: Solve for x
    x = 112,140,088.58/9,424.98
  6. Step 6: Final answer
    x = 11,898.18

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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.