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Finding the Fourth Proportional to 9,491.40, 13,097.01 and 5,242.21

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Solution

The fourth proportional to 9,491.40, 13,097.01 and 5,242.21 is: 7,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.40 : 13,097.01 = 5,242.21 : x
  2. Step 2: Convert to fraction form
    9,491.40/13,097.01 = 5,242.21/x
  3. Step 3: Cross multiply
    9,491.40x = 13,097.01 × 5,242.21
  4. Step 4: Simplify right side
    9,491.40x = 68,657,283.34
  5. Step 5: Solve for x
    x = 68,657,283.34/9,491.40
  6. Step 6: Final answer
    x = 7,233.63

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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.