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Finding the Fourth Proportional to 7,122.94, 9,821.66 and 4,601.72

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Solution

The fourth proportional to 7,122.94, 9,821.66 and 4,601.72 is: 6,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.94 : 9,821.66 = 4,601.72 : x
  2. Step 2: Convert to fraction form
    7,122.94/9,821.66 = 4,601.72/x
  3. Step 3: Cross multiply
    7,122.94x = 9,821.66 × 4,601.72
  4. Step 4: Simplify right side
    7,122.94x = 45,196,530.80
  5. Step 5: Solve for x
    x = 45,196,530.80/7,122.94
  6. Step 6: Final answer
    x = 6,345.21

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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.