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Finding the Fourth Proportional to 9,643.24, 13,300.74 and 6,279.82

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Solution

The fourth proportional to 9,643.24, 13,300.74 and 6,279.82 is: 8,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.24 : 13,300.74 = 6,279.82 : x
  2. Step 2: Convert to fraction form
    9,643.24/13,300.74 = 6,279.82/x
  3. Step 3: Cross multiply
    9,643.24x = 13,300.74 × 6,279.82
  4. Step 4: Simplify right side
    9,643.24x = 83,526,253.07
  5. Step 5: Solve for x
    x = 83,526,253.07/9,643.24
  6. Step 6: Final answer
    x = 8,661.64

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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.