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Finding the Fourth Proportional to 9,854.37, 14,776.11 and 6,737.88

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Solution

The fourth proportional to 9,854.37, 14,776.11 and 6,737.88 is: 10,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.37 : 14,776.11 = 6,737.88 : x
  2. Step 2: Convert to fraction form
    9,854.37/14,776.11 = 6,737.88/x
  3. Step 3: Cross multiply
    9,854.37x = 14,776.11 × 6,737.88
  4. Step 4: Simplify right side
    9,854.37x = 99,559,656.05
  5. Step 5: Solve for x
    x = 99,559,656.05/9,854.37
  6. Step 6: Final answer
    x = 10,103.10

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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.