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Finding the Fourth Proportional to 9,795.63, 14,695.93 and 4,247.64

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Solution

The fourth proportional to 9,795.63, 14,695.93 and 4,247.64 is: 6,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.63 : 14,695.93 = 4,247.64 : x
  2. Step 2: Convert to fraction form
    9,795.63/14,695.93 = 4,247.64/x
  3. Step 3: Cross multiply
    9,795.63x = 14,695.93 × 4,247.64
  4. Step 4: Simplify right side
    9,795.63x = 62,423,025.41
  5. Step 5: Solve for x
    x = 62,423,025.41/9,795.63
  6. Step 6: Final answer
    x = 6,372.54

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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.