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Finding the Fourth Proportional to 9,491.45, 13,098.12 and 5,242.77

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Solution

The fourth proportional to 9,491.45, 13,098.12 and 5,242.77 is: 7,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.45 : 13,098.12 = 5,242.77 : x
  2. Step 2: Convert to fraction form
    9,491.45/13,098.12 = 5,242.77/x
  3. Step 3: Cross multiply
    9,491.45x = 13,098.12 × 5,242.77
  4. Step 4: Simplify right side
    9,491.45x = 68,670,430.59
  5. Step 5: Solve for x
    x = 68,670,430.59/9,491.45
  6. Step 6: Final answer
    x = 7,234.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.