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Finding the Fourth Proportional to 9,490.98, 13,097.66 and 5,242.04

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Solution

The fourth proportional to 9,490.98, 13,097.66 and 5,242.04 is: 7,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.98 : 13,097.66 = 5,242.04 : x
  2. Step 2: Convert to fraction form
    9,490.98/13,097.66 = 5,242.04/x
  3. Step 3: Cross multiply
    9,490.98x = 13,097.66 × 5,242.04
  4. Step 4: Simplify right side
    9,490.98x = 68,658,457.63
  5. Step 5: Solve for x
    x = 68,658,457.63/9,490.98
  6. Step 6: Final answer
    x = 7,234.07

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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.