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Finding the Fourth Proportional to 9,180.02, 13,768.22 and 4,498.02

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Solution

The fourth proportional to 9,180.02, 13,768.22 and 4,498.02 is: 6,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.02 : 13,768.22 = 4,498.02 : x
  2. Step 2: Convert to fraction form
    9,180.02/13,768.22 = 4,498.02/x
  3. Step 3: Cross multiply
    9,180.02x = 13,768.22 × 4,498.02
  4. Step 4: Simplify right side
    9,180.02x = 61,929,706.43
  5. Step 5: Solve for x
    x = 61,929,706.43/9,180.02
  6. Step 6: Final answer
    x = 6,746.14

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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.