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Finding the Fourth Proportional to 9,840.56, 13,598.52 and 7,761.20

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Solution

The fourth proportional to 9,840.56, 13,598.52 and 7,761.20 is: 10,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.56 : 13,598.52 = 7,761.20 : x
  2. Step 2: Convert to fraction form
    9,840.56/13,598.52 = 7,761.20/x
  3. Step 3: Cross multiply
    9,840.56x = 13,598.52 × 7,761.20
  4. Step 4: Simplify right side
    9,840.56x = 105,540,833.42
  5. Step 5: Solve for x
    x = 105,540,833.42/9,840.56
  6. Step 6: Final answer
    x = 10,725.08

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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.