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Finding the Fourth Proportional to 9,262.50, 12,782.25 and 5,070.75

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Solution

The fourth proportional to 9,262.50, 12,782.25 and 5,070.75 is: 6,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.50 : 12,782.25 = 5,070.75 : x
  2. Step 2: Convert to fraction form
    9,262.50/12,782.25 = 5,070.75/x
  3. Step 3: Cross multiply
    9,262.50x = 12,782.25 × 5,070.75
  4. Step 4: Simplify right side
    9,262.50x = 64,815,594.19
  5. Step 5: Solve for x
    x = 64,815,594.19/9,262.50
  6. Step 6: Final answer
    x = 6,997.64

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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.