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Finding the Fourth Proportional to 9,415.58, 12,993.72 and 5,166.84

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Solution

The fourth proportional to 9,415.58, 12,993.72 and 5,166.84 is: 7,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.58 : 12,993.72 = 5,166.84 : x
  2. Step 2: Convert to fraction form
    9,415.58/12,993.72 = 5,166.84/x
  3. Step 3: Cross multiply
    9,415.58x = 12,993.72 × 5,166.84
  4. Step 4: Simplify right side
    9,415.58x = 67,136,472.24
  5. Step 5: Solve for x
    x = 67,136,472.24/9,415.58
  6. Step 6: Final answer
    x = 7,130.36

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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.