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Finding the Fourth Proportional to 9,080.34, 12,530.91 and 5,102.82

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Solution

The fourth proportional to 9,080.34, 12,530.91 and 5,102.82 is: 7,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080.34 : 12,530.91 = 5,102.82 : x
  2. Step 2: Convert to fraction form
    9,080.34/12,530.91 = 5,102.82/x
  3. Step 3: Cross multiply
    9,080.34x = 12,530.91 × 5,102.82
  4. Step 4: Simplify right side
    9,080.34x = 63,942,978.17
  5. Step 5: Solve for x
    x = 63,942,978.17/9,080.34
  6. Step 6: Final answer
    x = 7,041.91

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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.