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Finding the Fourth Proportional to 9,295.93, 12,828.44 and 5,047.06

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Solution

The fourth proportional to 9,295.93, 12,828.44 and 5,047.06 is: 6,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.93 : 12,828.44 = 5,047.06 : x
  2. Step 2: Convert to fraction form
    9,295.93/12,828.44 = 5,047.06/x
  3. Step 3: Cross multiply
    9,295.93x = 12,828.44 × 5,047.06
  4. Step 4: Simplify right side
    9,295.93x = 64,745,842.24
  5. Step 5: Solve for x
    x = 64,745,842.24/9,295.93
  6. Step 6: Final answer
    x = 6,964.97

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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.