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Finding the Fourth Proportional to 9,171.84, 12,656.16 and 6,783.28

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Solution

The fourth proportional to 9,171.84, 12,656.16 and 6,783.28 is: 9,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.84 : 12,656.16 = 6,783.28 : x
  2. Step 2: Convert to fraction form
    9,171.84/12,656.16 = 6,783.28/x
  3. Step 3: Cross multiply
    9,171.84x = 12,656.16 × 6,783.28
  4. Step 4: Simplify right side
    9,171.84x = 85,850,277.00
  5. Step 5: Solve for x
    x = 85,850,277.00/9,171.84
  6. Step 6: Final answer
    x = 9,360.20

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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.