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Finding the Fourth Proportional to 9,753.80, 13,460.14 and 5,277.45

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Solution

The fourth proportional to 9,753.80, 13,460.14 and 5,277.45 is: 7,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.80 : 13,460.14 = 5,277.45 : x
  2. Step 2: Convert to fraction form
    9,753.80/13,460.14 = 5,277.45/x
  3. Step 3: Cross multiply
    9,753.80x = 13,460.14 × 5,277.45
  4. Step 4: Simplify right side
    9,753.80x = 71,035,227.26
  5. Step 5: Solve for x
    x = 71,035,227.26/9,753.80
  6. Step 6: Final answer
    x = 7,282.83

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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.