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Finding the Fourth Proportional to 9,665.01, 14,479.08 and 5,211.63

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Solution

The fourth proportional to 9,665.01, 14,479.08 and 5,211.63 is: 7,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.01 : 14,479.08 = 5,211.63 : x
  2. Step 2: Convert to fraction form
    9,665.01/14,479.08 = 5,211.63/x
  3. Step 3: Cross multiply
    9,665.01x = 14,479.08 × 5,211.63
  4. Step 4: Simplify right side
    9,665.01x = 75,459,607.70
  5. Step 5: Solve for x
    x = 75,459,607.70/9,665.01
  6. Step 6: Final answer
    x = 7,807.50

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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.