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Finding the Fourth Proportional to 9,755.55, 13,462.74 and 5,724.79

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Solution

The fourth proportional to 9,755.55, 13,462.74 and 5,724.79 is: 7,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.55 : 13,462.74 = 5,724.79 : x
  2. Step 2: Convert to fraction form
    9,755.55/13,462.74 = 5,724.79/x
  3. Step 3: Cross multiply
    9,755.55x = 13,462.74 × 5,724.79
  4. Step 4: Simplify right side
    9,755.55x = 77,071,325.67
  5. Step 5: Solve for x
    x = 77,071,325.67/9,755.55
  6. Step 6: Final answer
    x = 7,900.25

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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.