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Finding the Fourth Proportional to 9,730.77, 13,427.69 and 6,368.25

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Solution

The fourth proportional to 9,730.77, 13,427.69 and 6,368.25 is: 8,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.77 : 13,427.69 = 6,368.25 : x
  2. Step 2: Convert to fraction form
    9,730.77/13,427.69 = 6,368.25/x
  3. Step 3: Cross multiply
    9,730.77x = 13,427.69 × 6,368.25
  4. Step 4: Simplify right side
    9,730.77x = 85,510,905.36
  5. Step 5: Solve for x
    x = 85,510,905.36/9,730.77
  6. Step 6: Final answer
    x = 8,787.68

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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.