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Finding the Fourth Proportional to 9,668.84, 14,503.27 and 2,648.91

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Solution

The fourth proportional to 9,668.84, 14,503.27 and 2,648.91 is: 3,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.84 : 14,503.27 = 2,648.91 : x
  2. Step 2: Convert to fraction form
    9,668.84/14,503.27 = 2,648.91/x
  3. Step 3: Cross multiply
    9,668.84x = 14,503.27 × 2,648.91
  4. Step 4: Simplify right side
    9,668.84x = 38,417,865.15
  5. Step 5: Solve for x
    x = 38,417,865.15/9,668.84
  6. Step 6: Final answer
    x = 3,973.37

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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.