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Finding the Fourth Proportional to 9,642.46, 14,460.84 and 4,095.76

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Solution

The fourth proportional to 9,642.46, 14,460.84 and 4,095.76 is: 6,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.46 : 14,460.84 = 4,095.76 : x
  2. Step 2: Convert to fraction form
    9,642.46/14,460.84 = 4,095.76/x
  3. Step 3: Cross multiply
    9,642.46x = 14,460.84 × 4,095.76
  4. Step 4: Simplify right side
    9,642.46x = 59,228,130.04
  5. Step 5: Solve for x
    x = 59,228,130.04/9,642.46
  6. Step 6: Final answer
    x = 6,142.43

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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.