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Finding the Fourth Proportional to 9,635.42, 14,446.15 and 6,507.61

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Solution

The fourth proportional to 9,635.42, 14,446.15 and 6,507.61 is: 9,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.42 : 14,446.15 = 6,507.61 : x
  2. Step 2: Convert to fraction form
    9,635.42/14,446.15 = 6,507.61/x
  3. Step 3: Cross multiply
    9,635.42x = 14,446.15 × 6,507.61
  4. Step 4: Simplify right side
    9,635.42x = 94,009,857.82
  5. Step 5: Solve for x
    x = 94,009,857.82/9,635.42
  6. Step 6: Final answer
    x = 9,756.69

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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.