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Finding the Fourth Proportional to 9,064.68, 13,596.36 and 3,140.16

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Solution

The fourth proportional to 9,064.68, 13,596.36 and 3,140.16 is: 4,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.68 : 13,596.36 = 3,140.16 : x
  2. Step 2: Convert to fraction form
    9,064.68/13,596.36 = 3,140.16/x
  3. Step 3: Cross multiply
    9,064.68x = 13,596.36 × 3,140.16
  4. Step 4: Simplify right side
    9,064.68x = 42,694,745.82
  5. Step 5: Solve for x
    x = 42,694,745.82/9,064.68
  6. Step 6: Final answer
    x = 4,710.01

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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.