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Finding the Fourth Proportional to 9,678.28, 13,326.23 and 8,476.34

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Solution

The fourth proportional to 9,678.28, 13,326.23 and 8,476.34 is: 11,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.28 : 13,326.23 = 8,476.34 : x
  2. Step 2: Convert to fraction form
    9,678.28/13,326.23 = 8,476.34/x
  3. Step 3: Cross multiply
    9,678.28x = 13,326.23 × 8,476.34
  4. Step 4: Simplify right side
    9,678.28x = 112,957,656.40
  5. Step 5: Solve for x
    x = 112,957,656.40/9,678.28
  6. Step 6: Final answer
    x = 11,671.25

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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.