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Finding the Fourth Proportional to 10,209.36, 14,076 and 6,666.96

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Solution

The fourth proportional to 10,209.36, 14,076 and 6,666.96 is: 9,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.36 : 14,076 = 6,666.96 : x
  2. Step 2: Convert to fraction form
    10,209.36/14,076 = 6,666.96/x
  3. Step 3: Cross multiply
    10,209.36x = 14,076 × 6,666.96
  4. Step 4: Simplify right side
    10,209.36x = 93,844,128.96
  5. Step 5: Solve for x
    x = 93,844,128.96/10,209.36
  6. Step 6: Final answer
    x = 9,191.97

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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.