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Finding the Fourth Proportional to 9,765.10, 13,477.94 and 6,366.36

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Solution

The fourth proportional to 9,765.10, 13,477.94 and 6,366.36 is: 8,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.10 : 13,477.94 = 6,366.36 : x
  2. Step 2: Convert to fraction form
    9,765.10/13,477.94 = 6,366.36/x
  3. Step 3: Cross multiply
    9,765.10x = 13,477.94 × 6,366.36
  4. Step 4: Simplify right side
    9,765.10x = 85,805,386.27
  5. Step 5: Solve for x
    x = 85,805,386.27/9,765.10
  6. Step 6: Final answer
    x = 8,786.94

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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.