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Finding the Fourth Proportional to 9,490.62, 13,097.26 and 5,298.88

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Solution

The fourth proportional to 9,490.62, 13,097.26 and 5,298.88 is: 7,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.62 : 13,097.26 = 5,298.88 : x
  2. Step 2: Convert to fraction form
    9,490.62/13,097.26 = 5,298.88/x
  3. Step 3: Cross multiply
    9,490.62x = 13,097.26 × 5,298.88
  4. Step 4: Simplify right side
    9,490.62x = 69,400,809.07
  5. Step 5: Solve for x
    x = 69,400,809.07/9,490.62
  6. Step 6: Final answer
    x = 7,312.57

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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.