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Finding the Fourth Proportional to 9,510.55, 14,262.19 and 3,809.77

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Solution

The fourth proportional to 9,510.55, 14,262.19 and 3,809.77 is: 5,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.55 : 14,262.19 = 3,809.77 : x
  2. Step 2: Convert to fraction form
    9,510.55/14,262.19 = 3,809.77/x
  3. Step 3: Cross multiply
    9,510.55x = 14,262.19 × 3,809.77
  4. Step 4: Simplify right side
    9,510.55x = 54,335,663.60
  5. Step 5: Solve for x
    x = 54,335,663.60/9,510.55
  6. Step 6: Final answer
    x = 5,713.20

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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.