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Finding the Fourth Proportional to 7,130.16, 9,840.76 and 4,147.92

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Solution

The fourth proportional to 7,130.16, 9,840.76 and 4,147.92 is: 5,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.16 : 9,840.76 = 4,147.92 : x
  2. Step 2: Convert to fraction form
    7,130.16/9,840.76 = 4,147.92/x
  3. Step 3: Cross multiply
    7,130.16x = 9,840.76 × 4,147.92
  4. Step 4: Simplify right side
    7,130.16x = 40,818,685.22
  5. Step 5: Solve for x
    x = 40,818,685.22/7,130.16
  6. Step 6: Final answer
    x = 5,724.79

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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.