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Finding the Fourth Proportional to 9,510.23, 14,261.22 and 7,320.50

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Solution

The fourth proportional to 9,510.23, 14,261.22 and 7,320.50 is: 10,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.23 : 14,261.22 = 7,320.50 : x
  2. Step 2: Convert to fraction form
    9,510.23/14,261.22 = 7,320.50/x
  3. Step 3: Cross multiply
    9,510.23x = 14,261.22 × 7,320.50
  4. Step 4: Simplify right side
    9,510.23x = 104,399,189.70
  5. Step 5: Solve for x
    x = 104,399,189.70/9,510.23
  6. Step 6: Final answer
    x = 10,977.57

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Why These Related Problems?

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