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Finding the Fourth Proportional to 9,789.93, 13,510.76 and 5,540.98

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Solution

The fourth proportional to 9,789.93, 13,510.76 and 5,540.98 is: 7,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.93 : 13,510.76 = 5,540.98 : x
  2. Step 2: Convert to fraction form
    9,789.93/13,510.76 = 5,540.98/x
  3. Step 3: Cross multiply
    9,789.93x = 13,510.76 × 5,540.98
  4. Step 4: Simplify right side
    9,789.93x = 74,862,823.24
  5. Step 5: Solve for x
    x = 74,862,823.24/9,789.93
  6. Step 6: Final answer
    x = 7,646.93

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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.