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Finding the Fourth Proportional to 9,695.63, 14,529.51 and 4,147.47

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Solution

The fourth proportional to 9,695.63, 14,529.51 and 4,147.47 is: 6,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.63 : 14,529.51 = 4,147.47 : x
  2. Step 2: Convert to fraction form
    9,695.63/14,529.51 = 4,147.47/x
  3. Step 3: Cross multiply
    9,695.63x = 14,529.51 × 4,147.47
  4. Step 4: Simplify right side
    9,695.63x = 60,260,706.84
  5. Step 5: Solve for x
    x = 60,260,706.84/9,695.63
  6. Step 6: Final answer
    x = 6,215.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.