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Finding the Fourth Proportional to 9,313.85, 13,970.77 and 3,767.15

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Solution

The fourth proportional to 9,313.85, 13,970.77 and 3,767.15 is: 5,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.85 : 13,970.77 = 3,767.15 : x
  2. Step 2: Convert to fraction form
    9,313.85/13,970.77 = 3,767.15/x
  3. Step 3: Cross multiply
    9,313.85x = 13,970.77 × 3,767.15
  4. Step 4: Simplify right side
    9,313.85x = 52,630,011.71
  5. Step 5: Solve for x
    x = 52,630,011.71/9,313.85
  6. Step 6: Final answer
    x = 5,650.72

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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.