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Finding the Fourth Proportional to 9,264.25, 12,782.14 and 5,283.91

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Solution

The fourth proportional to 9,264.25, 12,782.14 and 5,283.91 is: 7,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.25 : 12,782.14 = 5,283.91 : x
  2. Step 2: Convert to fraction form
    9,264.25/12,782.14 = 5,283.91/x
  3. Step 3: Cross multiply
    9,264.25x = 12,782.14 × 5,283.91
  4. Step 4: Simplify right side
    9,264.25x = 67,539,677.37
  5. Step 5: Solve for x
    x = 67,539,677.37/9,264.25
  6. Step 6: Final answer
    x = 7,290.36

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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.