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Finding the Fourth Proportional to 9,503.34, 14,256.98 and 2,929.20

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Solution

The fourth proportional to 9,503.34, 14,256.98 and 2,929.20 is: 4,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.34 : 14,256.98 = 2,929.20 : x
  2. Step 2: Convert to fraction form
    9,503.34/14,256.98 = 2,929.20/x
  3. Step 3: Cross multiply
    9,503.34x = 14,256.98 × 2,929.20
  4. Step 4: Simplify right side
    9,503.34x = 41,761,545.82
  5. Step 5: Solve for x
    x = 41,761,545.82/9,503.34
  6. Step 6: Final answer
    x = 4,394.41

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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.