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Finding the Fourth Proportional to 7,097.98, 9,792.33 and 4,709.08

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Solution

The fourth proportional to 7,097.98, 9,792.33 and 4,709.08 is: 6,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.98 : 9,792.33 = 4,709.08 : x
  2. Step 2: Convert to fraction form
    7,097.98/9,792.33 = 4,709.08/x
  3. Step 3: Cross multiply
    7,097.98x = 9,792.33 × 4,709.08
  4. Step 4: Simplify right side
    7,097.98x = 46,112,865.36
  5. Step 5: Solve for x
    x = 46,112,865.36/7,097.98
  6. Step 6: Final answer
    x = 6,496.62

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Why These Related Problems?

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