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Finding the Fourth Proportional to 9,263.36, 12,782.97 and 5,284.32

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Solution

The fourth proportional to 9,263.36, 12,782.97 and 5,284.32 is: 7,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.36 : 12,782.97 = 5,284.32 : x
  2. Step 2: Convert to fraction form
    9,263.36/12,782.97 = 5,284.32/x
  3. Step 3: Cross multiply
    9,263.36x = 12,782.97 × 5,284.32
  4. Step 4: Simplify right side
    9,263.36x = 67,549,304.03
  5. Step 5: Solve for x
    x = 67,549,304.03/9,263.36
  6. Step 6: Final answer
    x = 7,292.10

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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.