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Finding the Fourth Proportional to 9,491.58, 14,242.77 and 5,108.94

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Solution

The fourth proportional to 9,491.58, 14,242.77 and 5,108.94 is: 7,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.58 : 14,242.77 = 5,108.94 : x
  2. Step 2: Convert to fraction form
    9,491.58/14,242.77 = 5,108.94/x
  3. Step 3: Cross multiply
    9,491.58x = 14,242.77 × 5,108.94
  4. Step 4: Simplify right side
    9,491.58x = 72,765,457.36
  5. Step 5: Solve for x
    x = 72,765,457.36/9,491.58
  6. Step 6: Final answer
    x = 7,666.32

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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.