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Finding the Fourth Proportional to 9,510.69, 14,266.02 and 3,663.20

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Solution

The fourth proportional to 9,510.69, 14,266.02 and 3,663.20 is: 5,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.69 : 14,266.02 = 3,663.20 : x
  2. Step 2: Convert to fraction form
    9,510.69/14,266.02 = 3,663.20/x
  3. Step 3: Cross multiply
    9,510.69x = 14,266.02 × 3,663.20
  4. Step 4: Simplify right side
    9,510.69x = 52,259,284.46
  5. Step 5: Solve for x
    x = 52,259,284.46/9,510.69
  6. Step 6: Final answer
    x = 5,494.79

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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.