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Finding the Fourth Proportional to 7,134.75, 9,841.27 and 4,300.20

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Solution

The fourth proportional to 7,134.75, 9,841.27 and 4,300.20 is: 5,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.75 : 9,841.27 = 4,300.20 : x
  2. Step 2: Convert to fraction form
    7,134.75/9,841.27 = 4,300.20/x
  3. Step 3: Cross multiply
    7,134.75x = 9,841.27 × 4,300.20
  4. Step 4: Simplify right side
    7,134.75x = 42,319,429.25
  5. Step 5: Solve for x
    x = 42,319,429.25/7,134.75
  6. Step 6: Final answer
    x = 5,931.45

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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.