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Finding the Fourth Proportional to 9,591.16, 14,377.51 and 4,913.38

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Solution

The fourth proportional to 9,591.16, 14,377.51 and 4,913.38 is: 7,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.16 : 14,377.51 = 4,913.38 : x
  2. Step 2: Convert to fraction form
    9,591.16/14,377.51 = 4,913.38/x
  3. Step 3: Cross multiply
    9,591.16x = 14,377.51 × 4,913.38
  4. Step 4: Simplify right side
    9,591.16x = 70,642,099.51
  5. Step 5: Solve for x
    x = 70,642,099.51/9,591.16
  6. Step 6: Final answer
    x = 7,365.33

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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.