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Finding the Fourth Proportional to 9,494.96, 14,255.40 and 6,047.60

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Solution

The fourth proportional to 9,494.96, 14,255.40 and 6,047.60 is: 9,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.96 : 14,255.40 = 6,047.60 : x
  2. Step 2: Convert to fraction form
    9,494.96/14,255.40 = 6,047.60/x
  3. Step 3: Cross multiply
    9,494.96x = 14,255.40 × 6,047.60
  4. Step 4: Simplify right side
    9,494.96x = 86,210,957.04
  5. Step 5: Solve for x
    x = 86,210,957.04/9,494.96
  6. Step 6: Final answer
    x = 9,079.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.