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Finding the Fourth Proportional to 9,674.42, 14,395.76 and 9,641.61

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Solution

The fourth proportional to 9,674.42, 14,395.76 and 9,641.61 is: 14,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.42 : 14,395.76 = 9,641.61 : x
  2. Step 2: Convert to fraction form
    9,674.42/14,395.76 = 9,641.61/x
  3. Step 3: Cross multiply
    9,674.42x = 14,395.76 × 9,641.61
  4. Step 4: Simplify right side
    9,674.42x = 138,798,255.37
  5. Step 5: Solve for x
    x = 138,798,255.37/9,674.42
  6. Step 6: Final answer
    x = 14,346.94

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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.