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Finding the Fourth Proportional to 9,490.72, 13,097.14 and 5,298.97

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Solution

The fourth proportional to 9,490.72, 13,097.14 and 5,298.97 is: 7,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.72 : 13,097.14 = 5,298.97 : x
  2. Step 2: Convert to fraction form
    9,490.72/13,097.14 = 5,298.97/x
  3. Step 3: Cross multiply
    9,490.72x = 13,097.14 × 5,298.97
  4. Step 4: Simplify right side
    9,490.72x = 69,401,351.95
  5. Step 5: Solve for x
    x = 69,401,351.95/9,490.72
  6. Step 6: Final answer
    x = 7,312.55

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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.