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Finding the Fourth Proportional to 9,485.82, 13,087.98 and 6,502.59

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Solution

The fourth proportional to 9,485.82, 13,087.98 and 6,502.59 is: 8,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.82 : 13,087.98 = 6,502.59 : x
  2. Step 2: Convert to fraction form
    9,485.82/13,087.98 = 6,502.59/x
  3. Step 3: Cross multiply
    9,485.82x = 13,087.98 × 6,502.59
  4. Step 4: Simplify right side
    9,485.82x = 85,105,767.87
  5. Step 5: Solve for x
    x = 85,105,767.87/9,485.82
  6. Step 6: Final answer
    x = 8,971.89

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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.