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Finding the Fourth Proportional to 9,929.34, 14,885.10 and 5,480.28

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Solution

The fourth proportional to 9,929.34, 14,885.10 and 5,480.28 is: 8,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.34 : 14,885.10 = 5,480.28 : x
  2. Step 2: Convert to fraction form
    9,929.34/14,885.10 = 5,480.28/x
  3. Step 3: Cross multiply
    9,929.34x = 14,885.10 × 5,480.28
  4. Step 4: Simplify right side
    9,929.34x = 81,574,515.83
  5. Step 5: Solve for x
    x = 81,574,515.83/9,929.34
  6. Step 6: Final answer
    x = 8,215.50

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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.