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Finding the Fourth Proportional to 9,777.13, 14,667.01 and 3,535.47

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Solution

The fourth proportional to 9,777.13, 14,667.01 and 3,535.47 is: 5,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.13 : 14,667.01 = 3,535.47 : x
  2. Step 2: Convert to fraction form
    9,777.13/14,667.01 = 3,535.47/x
  3. Step 3: Cross multiply
    9,777.13x = 14,667.01 × 3,535.47
  4. Step 4: Simplify right side
    9,777.13x = 51,854,765.01
  5. Step 5: Solve for x
    x = 51,854,765.01/9,777.13
  6. Step 6: Final answer
    x = 5,303.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.