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Finding the Fourth Proportional to 9,614, 14,423.33 and 4,682.52

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Solution

The fourth proportional to 9,614, 14,423.33 and 4,682.52 is: 7,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614 : 14,423.33 = 4,682.52 : x
  2. Step 2: Convert to fraction form
    9,614/14,423.33 = 4,682.52/x
  3. Step 3: Cross multiply
    9,614x = 14,423.33 × 4,682.52
  4. Step 4: Simplify right side
    9,614x = 67,537,531.19
  5. Step 5: Solve for x
    x = 67,537,531.19/9,614
  6. Step 6: Final answer
    x = 7,024.91

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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.