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Finding the Fourth Proportional to 9,635.01, 14,440.68 and 5,478.50

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Solution

The fourth proportional to 9,635.01, 14,440.68 and 5,478.50 is: 8,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.01 : 14,440.68 = 5,478.50 : x
  2. Step 2: Convert to fraction form
    9,635.01/14,440.68 = 5,478.50/x
  3. Step 3: Cross multiply
    9,635.01x = 14,440.68 × 5,478.50
  4. Step 4: Simplify right side
    9,635.01x = 79,113,193.18
  5. Step 5: Solve for x
    x = 79,113,193.18/9,635.01
  6. Step 6: Final answer
    x = 8,211.01

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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.