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Finding the Fourth Proportional to 9,502.33, 14,253.53 and 5,604

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Solution

The fourth proportional to 9,502.33, 14,253.53 and 5,604 is: 8,406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.33 : 14,253.53 = 5,604 : x
  2. Step 2: Convert to fraction form
    9,502.33/14,253.53 = 5,604/x
  3. Step 3: Cross multiply
    9,502.33x = 14,253.53 × 5,604
  4. Step 4: Simplify right side
    9,502.33x = 79,876,754.10
  5. Step 5: Solve for x
    x = 79,876,754.10/9,502.33
  6. Step 6: Final answer
    x = 8,406.02

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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.