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Finding the Fourth Proportional to 9,163.79, 13,714.53 and 5,656.02

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Solution

The fourth proportional to 9,163.79, 13,714.53 and 5,656.02 is: 8,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.79 : 13,714.53 = 5,656.02 : x
  2. Step 2: Convert to fraction form
    9,163.79/13,714.53 = 5,656.02/x
  3. Step 3: Cross multiply
    9,163.79x = 13,714.53 × 5,656.02
  4. Step 4: Simplify right side
    9,163.79x = 77,569,587.40
  5. Step 5: Solve for x
    x = 77,569,587.40/9,163.79
  6. Step 6: Final answer
    x = 8,464.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.