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Finding the Fourth Proportional to 9,767.19, 13,477.84 and 5,787.66

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Solution

The fourth proportional to 9,767.19, 13,477.84 and 5,787.66 is: 7,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.19 : 13,477.84 = 5,787.66 : x
  2. Step 2: Convert to fraction form
    9,767.19/13,477.84 = 5,787.66/x
  3. Step 3: Cross multiply
    9,767.19x = 13,477.84 × 5,787.66
  4. Step 4: Simplify right side
    9,767.19x = 78,005,155.45
  5. Step 5: Solve for x
    x = 78,005,155.45/9,767.19
  6. Step 6: Final answer
    x = 7,986.45

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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.