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Finding the Fourth Proportional to 9,642.45, 14,460.84 and 4,095.75

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Solution

The fourth proportional to 9,642.45, 14,460.84 and 4,095.75 is: 6,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.45 : 14,460.84 = 4,095.75 : x
  2. Step 2: Convert to fraction form
    9,642.45/14,460.84 = 4,095.75/x
  3. Step 3: Cross multiply
    9,642.45x = 14,460.84 × 4,095.75
  4. Step 4: Simplify right side
    9,642.45x = 59,227,985.43
  5. Step 5: Solve for x
    x = 59,227,985.43/9,642.45
  6. Step 6: Final answer
    x = 6,142.42

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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.