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Finding the Fourth Proportional to 9,830.26, 13,566.72 and 6,055.63

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Solution

The fourth proportional to 9,830.26, 13,566.72 and 6,055.63 is: 8,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.26 : 13,566.72 = 6,055.63 : x
  2. Step 2: Convert to fraction form
    9,830.26/13,566.72 = 6,055.63/x
  3. Step 3: Cross multiply
    9,830.26x = 13,566.72 × 6,055.63
  4. Step 4: Simplify right side
    9,830.26x = 82,155,025.43
  5. Step 5: Solve for x
    x = 82,155,025.43/9,830.26
  6. Step 6: Final answer
    x = 8,357.36

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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.