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Finding the Fourth Proportional to 9,457.84, 14,186.74 and 9,444.16

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Solution

The fourth proportional to 9,457.84, 14,186.74 and 9,444.16 is: 14,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.84 : 14,186.74 = 9,444.16 : x
  2. Step 2: Convert to fraction form
    9,457.84/14,186.74 = 9,444.16/x
  3. Step 3: Cross multiply
    9,457.84x = 14,186.74 × 9,444.16
  4. Step 4: Simplify right side
    9,457.84x = 133,981,842.44
  5. Step 5: Solve for x
    x = 133,981,842.44/9,457.84
  6. Step 6: Final answer
    x = 14,166.22

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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.