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Finding the Fourth Proportional to 9,733.04, 14,601.72 and 2,807

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Solution

The fourth proportional to 9,733.04, 14,601.72 and 2,807 is: 4,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.04 : 14,601.72 = 2,807 : x
  2. Step 2: Convert to fraction form
    9,733.04/14,601.72 = 2,807/x
  3. Step 3: Cross multiply
    9,733.04x = 14,601.72 × 2,807
  4. Step 4: Simplify right side
    9,733.04x = 40,987,028.04
  5. Step 5: Solve for x
    x = 40,987,028.04/9,733.04
  6. Step 6: Final answer
    x = 4,211.12

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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.