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Finding the Fourth Proportional to 9,457.65, 14,188.53 and 2,883.66

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Solution

The fourth proportional to 9,457.65, 14,188.53 and 2,883.66 is: 4,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.65 : 14,188.53 = 2,883.66 : x
  2. Step 2: Convert to fraction form
    9,457.65/14,188.53 = 2,883.66/x
  3. Step 3: Cross multiply
    9,457.65x = 14,188.53 × 2,883.66
  4. Step 4: Simplify right side
    9,457.65x = 40,914,896.42
  5. Step 5: Solve for x
    x = 40,914,896.42/9,457.65
  6. Step 6: Final answer
    x = 4,326.12

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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.