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Finding the Fourth Proportional to 9,415.83, 12,988.90 and 7,173.82

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Solution

The fourth proportional to 9,415.83, 12,988.90 and 7,173.82 is: 9,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.83 : 12,988.90 = 7,173.82 : x
  2. Step 2: Convert to fraction form
    9,415.83/12,988.90 = 7,173.82/x
  3. Step 3: Cross multiply
    9,415.83x = 12,988.90 × 7,173.82
  4. Step 4: Simplify right side
    9,415.83x = 93,179,977.69
  5. Step 5: Solve for x
    x = 93,179,977.69/9,415.83
  6. Step 6: Final answer
    x = 9,896.10

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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.