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Finding the Fourth Proportional to 9,775.85, 13,490.94 and 5,527.07

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Solution

The fourth proportional to 9,775.85, 13,490.94 and 5,527.07 is: 7,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.85 : 13,490.94 = 5,527.07 : x
  2. Step 2: Convert to fraction form
    9,775.85/13,490.94 = 5,527.07/x
  3. Step 3: Cross multiply
    9,775.85x = 13,490.94 × 5,527.07
  4. Step 4: Simplify right side
    9,775.85x = 74,565,369.75
  5. Step 5: Solve for x
    x = 74,565,369.75/9,775.85
  6. Step 6: Final answer
    x = 7,627.51

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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.