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Finding the Fourth Proportional to 9,798.51, 13,514.54 and 6,812.85

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Solution

The fourth proportional to 9,798.51, 13,514.54 and 6,812.85 is: 9,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.51 : 13,514.54 = 6,812.85 : x
  2. Step 2: Convert to fraction form
    9,798.51/13,514.54 = 6,812.85/x
  3. Step 3: Cross multiply
    9,798.51x = 13,514.54 × 6,812.85
  4. Step 4: Simplify right side
    9,798.51x = 92,072,499.77
  5. Step 5: Solve for x
    x = 92,072,499.77/9,798.51
  6. Step 6: Final answer
    x = 9,396.58

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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.