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Finding the Fourth Proportional to 9,661.08, 14,494.10 and 4,114.60

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Solution

The fourth proportional to 9,661.08, 14,494.10 and 4,114.60 is: 6,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.08 : 14,494.10 = 4,114.60 : x
  2. Step 2: Convert to fraction form
    9,661.08/14,494.10 = 4,114.60/x
  3. Step 3: Cross multiply
    9,661.08x = 14,494.10 × 4,114.60
  4. Step 4: Simplify right side
    9,661.08x = 59,637,423.86
  5. Step 5: Solve for x
    x = 59,637,423.86/9,661.08
  6. Step 6: Final answer
    x = 6,172.96

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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.