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Finding the Fourth Proportional to 9,811.94, 13,538.10 and 6,225.59

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Solution

The fourth proportional to 9,811.94, 13,538.10 and 6,225.59 is: 8,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.94 : 13,538.10 = 6,225.59 : x
  2. Step 2: Convert to fraction form
    9,811.94/13,538.10 = 6,225.59/x
  3. Step 3: Cross multiply
    9,811.94x = 13,538.10 × 6,225.59
  4. Step 4: Simplify right side
    9,811.94x = 84,282,592.29
  5. Step 5: Solve for x
    x = 84,282,592.29/9,811.94
  6. Step 6: Final answer
    x = 8,589.80

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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.