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Finding the Fourth Proportional to 7,130.80, 9,837.23 and 4,613.73

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Solution

The fourth proportional to 7,130.80, 9,837.23 and 4,613.73 is: 6,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.80 : 9,837.23 = 4,613.73 : x
  2. Step 2: Convert to fraction form
    7,130.80/9,837.23 = 4,613.73/x
  3. Step 3: Cross multiply
    7,130.80x = 9,837.23 × 4,613.73
  4. Step 4: Simplify right side
    7,130.80x = 45,386,300.18
  5. Step 5: Solve for x
    x = 45,386,300.18/7,130.80
  6. Step 6: Final answer
    x = 6,364.83

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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.