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Finding the Fourth Proportional to 7,122.55, 9,828.93 and 4,138.30

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Solution

The fourth proportional to 7,122.55, 9,828.93 and 4,138.30 is: 5,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.55 : 9,828.93 = 4,138.30 : x
  2. Step 2: Convert to fraction form
    7,122.55/9,828.93 = 4,138.30/x
  3. Step 3: Cross multiply
    7,122.55x = 9,828.93 × 4,138.30
  4. Step 4: Simplify right side
    7,122.55x = 40,675,061.02
  5. Step 5: Solve for x
    x = 40,675,061.02/7,122.55
  6. Step 6: Final answer
    x = 5,710.74

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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.