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Finding the Fourth Proportional to 9,579.72, 14,357.16 and 4,642.50

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Solution

The fourth proportional to 9,579.72, 14,357.16 and 4,642.50 is: 6,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.72 : 14,357.16 = 4,642.50 : x
  2. Step 2: Convert to fraction form
    9,579.72/14,357.16 = 4,642.50/x
  3. Step 3: Cross multiply
    9,579.72x = 14,357.16 × 4,642.50
  4. Step 4: Simplify right side
    9,579.72x = 66,653,115.30
  5. Step 5: Solve for x
    x = 66,653,115.30/9,579.72
  6. Step 6: Final answer
    x = 6,957.73

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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.