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Finding the Fourth Proportional to 9,850.52, 14,741.10 and 6,154.49

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Solution

The fourth proportional to 9,850.52, 14,741.10 and 6,154.49 is: 9,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.52 : 14,741.10 = 6,154.49 : x
  2. Step 2: Convert to fraction form
    9,850.52/14,741.10 = 6,154.49/x
  3. Step 3: Cross multiply
    9,850.52x = 14,741.10 × 6,154.49
  4. Step 4: Simplify right side
    9,850.52x = 90,723,878.83
  5. Step 5: Solve for x
    x = 90,723,878.83/9,850.52
  6. Step 6: Final answer
    x = 9,210.06

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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.