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Finding the Fourth Proportional to 9,290.25, 12,820.59 and 5,098.50

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Solution

The fourth proportional to 9,290.25, 12,820.59 and 5,098.50 is: 7,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.25 : 12,820.59 = 5,098.50 : x
  2. Step 2: Convert to fraction form
    9,290.25/12,820.59 = 5,098.50/x
  3. Step 3: Cross multiply
    9,290.25x = 12,820.59 × 5,098.50
  4. Step 4: Simplify right side
    9,290.25x = 65,365,778.12
  5. Step 5: Solve for x
    x = 65,365,778.12/9,290.25
  6. Step 6: Final answer
    x = 7,035.95

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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.