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Finding the Fourth Proportional to 9,628.74, 14,347.98 and 8,647.65

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Solution

The fourth proportional to 9,628.74, 14,347.98 and 8,647.65 is: 12,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.74 : 14,347.98 = 8,647.65 : x
  2. Step 2: Convert to fraction form
    9,628.74/14,347.98 = 8,647.65/x
  3. Step 3: Cross multiply
    9,628.74x = 14,347.98 × 8,647.65
  4. Step 4: Simplify right side
    9,628.74x = 124,076,309.25
  5. Step 5: Solve for x
    x = 124,076,309.25/9,628.74
  6. Step 6: Final answer
    x = 12,886.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.