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Finding the Fourth Proportional to 9,642.25, 14,459.62 and 4,095.82

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Solution

The fourth proportional to 9,642.25, 14,459.62 and 4,095.82 is: 6,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.25 : 14,459.62 = 4,095.82 : x
  2. Step 2: Convert to fraction form
    9,642.25/14,459.62 = 4,095.82/x
  3. Step 3: Cross multiply
    9,642.25x = 14,459.62 × 4,095.82
  4. Step 4: Simplify right side
    9,642.25x = 59,224,000.79
  5. Step 5: Solve for x
    x = 59,224,000.79/9,642.25
  6. Step 6: Final answer
    x = 6,142.13

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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.