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Finding the Fourth Proportional to 9,377.16, 14,065.02 and 3,829.02

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Solution

The fourth proportional to 9,377.16, 14,065.02 and 3,829.02 is: 5,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.16 : 14,065.02 = 3,829.02 : x
  2. Step 2: Convert to fraction form
    9,377.16/14,065.02 = 3,829.02/x
  3. Step 3: Cross multiply
    9,377.16x = 14,065.02 × 3,829.02
  4. Step 4: Simplify right side
    9,377.16x = 53,855,242.88
  5. Step 5: Solve for x
    x = 53,855,242.88/9,377.16
  6. Step 6: Final answer
    x = 5,743.24

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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.