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Finding the Fourth Proportional to 9,927.55, 14,885.25 and 4,007.16

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Solution

The fourth proportional to 9,927.55, 14,885.25 and 4,007.16 is: 6,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.55 : 14,885.25 = 4,007.16 : x
  2. Step 2: Convert to fraction form
    9,927.55/14,885.25 = 4,007.16/x
  3. Step 3: Cross multiply
    9,927.55x = 14,885.25 × 4,007.16
  4. Step 4: Simplify right side
    9,927.55x = 59,647,578.39
  5. Step 5: Solve for x
    x = 59,647,578.39/9,927.55
  6. Step 6: Final answer
    x = 6,008.29

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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.