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Finding the Fourth Proportional to 9,561.81, 14,329.76 and 4,948.05

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Solution

The fourth proportional to 9,561.81, 14,329.76 and 4,948.05 is: 7,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.81 : 14,329.76 = 4,948.05 : x
  2. Step 2: Convert to fraction form
    9,561.81/14,329.76 = 4,948.05/x
  3. Step 3: Cross multiply
    9,561.81x = 14,329.76 × 4,948.05
  4. Step 4: Simplify right side
    9,561.81x = 70,904,344.23
  5. Step 5: Solve for x
    x = 70,904,344.23/9,561.81
  6. Step 6: Final answer
    x = 7,415.37

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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.