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Finding the Fourth Proportional to 9,527.94, 13,148.60 and 5,551.78

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Solution

The fourth proportional to 9,527.94, 13,148.60 and 5,551.78 is: 7,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.94 : 13,148.60 = 5,551.78 : x
  2. Step 2: Convert to fraction form
    9,527.94/13,148.60 = 5,551.78/x
  3. Step 3: Cross multiply
    9,527.94x = 13,148.60 × 5,551.78
  4. Step 4: Simplify right side
    9,527.94x = 72,998,134.51
  5. Step 5: Solve for x
    x = 72,998,134.51/9,527.94
  6. Step 6: Final answer
    x = 7,661.48

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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.