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Finding the Fourth Proportional to 9,457.93, 14,197.66 and 4,783.22

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Solution

The fourth proportional to 9,457.93, 14,197.66 and 4,783.22 is: 7,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.93 : 14,197.66 = 4,783.22 : x
  2. Step 2: Convert to fraction form
    9,457.93/14,197.66 = 4,783.22/x
  3. Step 3: Cross multiply
    9,457.93x = 14,197.66 × 4,783.22
  4. Step 4: Simplify right side
    9,457.93x = 67,910,495.77
  5. Step 5: Solve for x
    x = 67,910,495.77/9,457.93
  6. Step 6: Final answer
    x = 7,180.27

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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.