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Finding the Fourth Proportional to 9,810.56, 13,539.80 and 5,618.81

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Solution

The fourth proportional to 9,810.56, 13,539.80 and 5,618.81 is: 7,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.56 : 13,539.80 = 5,618.81 : x
  2. Step 2: Convert to fraction form
    9,810.56/13,539.80 = 5,618.81/x
  3. Step 3: Cross multiply
    9,810.56x = 13,539.80 × 5,618.81
  4. Step 4: Simplify right side
    9,810.56x = 76,077,611.53
  5. Step 5: Solve for x
    x = 76,077,611.53/9,810.56
  6. Step 6: Final answer
    x = 7,754.66

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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.