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Finding the Fourth Proportional to 7,122.76, 9,829.35 and 4,140.34

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Solution

The fourth proportional to 7,122.76, 9,829.35 and 4,140.34 is: 5,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.76 : 9,829.35 = 4,140.34 : x
  2. Step 2: Convert to fraction form
    7,122.76/9,829.35 = 4,140.34/x
  3. Step 3: Cross multiply
    7,122.76x = 9,829.35 × 4,140.34
  4. Step 4: Simplify right side
    7,122.76x = 40,696,826.41
  5. Step 5: Solve for x
    x = 40,696,826.41/7,122.76
  6. Step 6: Final answer
    x = 5,713.63

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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.