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Finding the Fourth Proportional to 9,865.79, 13,610.67 and 6,461.81

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Solution

The fourth proportional to 9,865.79, 13,610.67 and 6,461.81 is: 8,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.79 : 13,610.67 = 6,461.81 : x
  2. Step 2: Convert to fraction form
    9,865.79/13,610.67 = 6,461.81/x
  3. Step 3: Cross multiply
    9,865.79x = 13,610.67 × 6,461.81
  4. Step 4: Simplify right side
    9,865.79x = 87,949,495.46
  5. Step 5: Solve for x
    x = 87,949,495.46/9,865.79
  6. Step 6: Final answer
    x = 8,914.60

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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.