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Finding the Fourth Proportional to 9,527.69, 13,148.57 and 5,278.66

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Solution

The fourth proportional to 9,527.69, 13,148.57 and 5,278.66 is: 7,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.69 : 13,148.57 = 5,278.66 : x
  2. Step 2: Convert to fraction form
    9,527.69/13,148.57 = 5,278.66/x
  3. Step 3: Cross multiply
    9,527.69x = 13,148.57 × 5,278.66
  4. Step 4: Simplify right side
    9,527.69x = 69,406,810.84
  5. Step 5: Solve for x
    x = 69,406,810.84/9,527.69
  6. Step 6: Final answer
    x = 7,284.75

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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.