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Finding the Fourth Proportional to 9,911.36, 13,678.31 and 6,548.28

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Solution

The fourth proportional to 9,911.36, 13,678.31 and 6,548.28 is: 9,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.36 : 13,678.31 = 6,548.28 : x
  2. Step 2: Convert to fraction form
    9,911.36/13,678.31 = 6,548.28/x
  3. Step 3: Cross multiply
    9,911.36x = 13,678.31 × 6,548.28
  4. Step 4: Simplify right side
    9,911.36x = 89,569,368.88
  5. Step 5: Solve for x
    x = 89,569,368.88/9,911.36
  6. Step 6: Final answer
    x = 9,037.04

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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.