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Finding the Fourth Proportional to 9,913, 14,861.02 and 4,065.96

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Solution

The fourth proportional to 9,913, 14,861.02 and 4,065.96 is: 6,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913 : 14,861.02 = 4,065.96 : x
  2. Step 2: Convert to fraction form
    9,913/14,861.02 = 4,065.96/x
  3. Step 3: Cross multiply
    9,913x = 14,861.02 × 4,065.96
  4. Step 4: Simplify right side
    9,913x = 60,424,312.88
  5. Step 5: Solve for x
    x = 60,424,312.88/9,913
  6. Step 6: Final answer
    x = 6,095.46

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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.