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Finding the Fourth Proportional to 9,472.36, 13,069.86 and 6,825.64

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Solution

The fourth proportional to 9,472.36, 13,069.86 and 6,825.64 is: 9,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.36 : 13,069.86 = 6,825.64 : x
  2. Step 2: Convert to fraction form
    9,472.36/13,069.86 = 6,825.64/x
  3. Step 3: Cross multiply
    9,472.36x = 13,069.86 × 6,825.64
  4. Step 4: Simplify right side
    9,472.36x = 89,210,159.21
  5. Step 5: Solve for x
    x = 89,210,159.21/9,472.36
  6. Step 6: Final answer
    x = 9,417.94

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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.