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Finding the Fourth Proportional to 9,510.84, 14,266.26 and 5,155.88

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Solution

The fourth proportional to 9,510.84, 14,266.26 and 5,155.88 is: 7,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.84 : 14,266.26 = 5,155.88 : x
  2. Step 2: Convert to fraction form
    9,510.84/14,266.26 = 5,155.88/x
  3. Step 3: Cross multiply
    9,510.84x = 14,266.26 × 5,155.88
  4. Step 4: Simplify right side
    9,510.84x = 73,555,053.28
  5. Step 5: Solve for x
    x = 73,555,053.28/9,510.84
  6. Step 6: Final answer
    x = 7,733.81

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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.