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Finding the Fourth Proportional to 9,527.88, 13,148.44 and 5,278.95

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Solution

The fourth proportional to 9,527.88, 13,148.44 and 5,278.95 is: 7,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.88 : 13,148.44 = 5,278.95 : x
  2. Step 2: Convert to fraction form
    9,527.88/13,148.44 = 5,278.95/x
  3. Step 3: Cross multiply
    9,527.88x = 13,148.44 × 5,278.95
  4. Step 4: Simplify right side
    9,527.88x = 69,409,904.79
  5. Step 5: Solve for x
    x = 69,409,904.79/9,527.88
  6. Step 6: Final answer
    x = 7,284.93

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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.