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Finding the Fourth Proportional to 7,133.46, 9,846.76 and 5,370.15

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Solution

The fourth proportional to 7,133.46, 9,846.76 and 5,370.15 is: 7,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.46 : 9,846.76 = 5,370.15 : x
  2. Step 2: Convert to fraction form
    7,133.46/9,846.76 = 5,370.15/x
  3. Step 3: Cross multiply
    7,133.46x = 9,846.76 × 5,370.15
  4. Step 4: Simplify right side
    7,133.46x = 52,878,578.21
  5. Step 5: Solve for x
    x = 52,878,578.21/7,133.46
  6. Step 6: Final answer
    x = 7,412.75

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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.