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Finding the Fourth Proportional to 9,527.58, 14,266.76 and 6,575.13

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Solution

The fourth proportional to 9,527.58, 14,266.76 and 6,575.13 is: 9,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.58 : 14,266.76 = 6,575.13 : x
  2. Step 2: Convert to fraction form
    9,527.58/14,266.76 = 6,575.13/x
  3. Step 3: Cross multiply
    9,527.58x = 14,266.76 × 6,575.13
  4. Step 4: Simplify right side
    9,527.58x = 93,805,768.80
  5. Step 5: Solve for x
    x = 93,805,768.80/9,527.58
  6. Step 6: Final answer
    x = 9,845.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.