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Finding the Fourth Proportional to 9,999.25, 13,804.43 and 6,225.66

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Solution

The fourth proportional to 9,999.25, 13,804.43 and 6,225.66 is: 8,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.25 : 13,804.43 = 6,225.66 : x
  2. Step 2: Convert to fraction form
    9,999.25/13,804.43 = 6,225.66/x
  3. Step 3: Cross multiply
    9,999.25x = 13,804.43 × 6,225.66
  4. Step 4: Simplify right side
    9,999.25x = 85,941,656.55
  5. Step 5: Solve for x
    x = 85,941,656.55/9,999.25
  6. Step 6: Final answer
    x = 8,594.81

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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.