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Finding the Fourth Proportional to 9,263.89, 12,782.98 and 5,284.77

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Solution

The fourth proportional to 9,263.89, 12,782.98 and 5,284.77 is: 7,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.89 : 12,782.98 = 5,284.77 : x
  2. Step 2: Convert to fraction form
    9,263.89/12,782.98 = 5,284.77/x
  3. Step 3: Cross multiply
    9,263.89x = 12,782.98 × 5,284.77
  4. Step 4: Simplify right side
    9,263.89x = 67,555,109.21
  5. Step 5: Solve for x
    x = 67,555,109.21/9,263.89
  6. Step 6: Final answer
    x = 7,292.30

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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.