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Finding the Fourth Proportional to 12,534.32, 17,296.64 and 6,867.94

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Solution

The fourth proportional to 12,534.32, 17,296.64 and 6,867.94 is: 9,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.32 : 17,296.64 = 6,867.94 : x
  2. Step 2: Convert to fraction form
    12,534.32/17,296.64 = 6,867.94/x
  3. Step 3: Cross multiply
    12,534.32x = 17,296.64 × 6,867.94
  4. Step 4: Simplify right side
    12,534.32x = 118,792,285.72
  5. Step 5: Solve for x
    x = 118,792,285.72/12,534.32
  6. Step 6: Final answer
    x = 9,477.36

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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.