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Finding the Fourth Proportional to 9,665.02, 13,341.81 and 6,525.46

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Solution

The fourth proportional to 9,665.02, 13,341.81 and 6,525.46 is: 9,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.02 : 13,341.81 = 6,525.46 : x
  2. Step 2: Convert to fraction form
    9,665.02/13,341.81 = 6,525.46/x
  3. Step 3: Cross multiply
    9,665.02x = 13,341.81 × 6,525.46
  4. Step 4: Simplify right side
    9,665.02x = 87,061,447.48
  5. Step 5: Solve for x
    x = 87,061,447.48/9,665.02
  6. Step 6: Final answer
    x = 9,007.89

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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.