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Finding the Fourth Proportional to 9,303.72, 12,839.52 and 5,112

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Solution

The fourth proportional to 9,303.72, 12,839.52 and 5,112 is: 7,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.72 : 12,839.52 = 5,112 : x
  2. Step 2: Convert to fraction form
    9,303.72/12,839.52 = 5,112/x
  3. Step 3: Cross multiply
    9,303.72x = 12,839.52 × 5,112
  4. Step 4: Simplify right side
    9,303.72x = 65,635,626.24
  5. Step 5: Solve for x
    x = 65,635,626.24/9,303.72
  6. Step 6: Final answer
    x = 7,054.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.