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Finding the Fourth Proportional to 9,259.93, 12,784.67 and 8,263.50

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Solution

The fourth proportional to 9,259.93, 12,784.67 and 8,263.50 is: 11,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.93 : 12,784.67 = 8,263.50 : x
  2. Step 2: Convert to fraction form
    9,259.93/12,784.67 = 8,263.50/x
  3. Step 3: Cross multiply
    9,259.93x = 12,784.67 × 8,263.50
  4. Step 4: Simplify right side
    9,259.93x = 105,646,120.55
  5. Step 5: Solve for x
    x = 105,646,120.55/9,259.93
  6. Step 6: Final answer
    x = 11,408.95

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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.