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Finding the Fourth Proportional to 7,113.90, 9,812.60 and 4,319.40

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Solution

The fourth proportional to 7,113.90, 9,812.60 and 4,319.40 is: 5,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.90 : 9,812.60 = 4,319.40 : x
  2. Step 2: Convert to fraction form
    7,113.90/9,812.60 = 4,319.40/x
  3. Step 3: Cross multiply
    7,113.90x = 9,812.60 × 4,319.40
  4. Step 4: Simplify right side
    7,113.90x = 42,384,544.44
  5. Step 5: Solve for x
    x = 42,384,544.44/7,113.90
  6. Step 6: Final answer
    x = 5,957.99

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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.