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Finding the Fourth Proportional to 9,290.10, 12,820.54 and 5,311.58

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Solution

The fourth proportional to 9,290.10, 12,820.54 and 5,311.58 is: 7,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.10 : 12,820.54 = 5,311.58 : x
  2. Step 2: Convert to fraction form
    9,290.10/12,820.54 = 5,311.58/x
  3. Step 3: Cross multiply
    9,290.10x = 12,820.54 × 5,311.58
  4. Step 4: Simplify right side
    9,290.10x = 68,097,323.85
  5. Step 5: Solve for x
    x = 68,097,323.85/9,290.10
  6. Step 6: Final answer
    x = 7,330.10

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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.