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Finding the Fourth Proportional to 9,363.13, 14,049.08 and 4,097.46

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Solution

The fourth proportional to 9,363.13, 14,049.08 and 4,097.46 is: 6,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.13 : 14,049.08 = 4,097.46 : x
  2. Step 2: Convert to fraction form
    9,363.13/14,049.08 = 4,097.46/x
  3. Step 3: Cross multiply
    9,363.13x = 14,049.08 × 4,097.46
  4. Step 4: Simplify right side
    9,363.13x = 57,565,543.34
  5. Step 5: Solve for x
    x = 57,565,543.34/9,363.13
  6. Step 6: Final answer
    x = 6,148.11

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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.