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Finding the Fourth Proportional to 9,475.36, 13,074 and 6,828.64

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Solution

The fourth proportional to 9,475.36, 13,074 and 6,828.64 is: 9,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.36 : 13,074 = 6,828.64 : x
  2. Step 2: Convert to fraction form
    9,475.36/13,074 = 6,828.64/x
  3. Step 3: Cross multiply
    9,475.36x = 13,074 × 6,828.64
  4. Step 4: Simplify right side
    9,475.36x = 89,277,639.36
  5. Step 5: Solve for x
    x = 89,277,639.36/9,475.36
  6. Step 6: Final answer
    x = 9,422.08

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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.