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Finding the Fourth Proportional to 9,669.28, 13,354.48 and 6,520

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Solution

The fourth proportional to 9,669.28, 13,354.48 and 6,520 is: 9,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.28 : 13,354.48 = 6,520 : x
  2. Step 2: Convert to fraction form
    9,669.28/13,354.48 = 6,520/x
  3. Step 3: Cross multiply
    9,669.28x = 13,354.48 × 6,520
  4. Step 4: Simplify right side
    9,669.28x = 87,071,209.60
  5. Step 5: Solve for x
    x = 87,071,209.60/9,669.28
  6. Step 6: Final answer
    x = 9,004.93

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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.