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Finding the Fourth Proportional to 9,699.17, 13,389.97 and 6,529.14

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Solution

The fourth proportional to 9,699.17, 13,389.97 and 6,529.14 is: 9,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.17 : 13,389.97 = 6,529.14 : x
  2. Step 2: Convert to fraction form
    9,699.17/13,389.97 = 6,529.14/x
  3. Step 3: Cross multiply
    9,699.17x = 13,389.97 × 6,529.14
  4. Step 4: Simplify right side
    9,699.17x = 87,424,988.73
  5. Step 5: Solve for x
    x = 87,424,988.73/9,699.17
  6. Step 6: Final answer
    x = 9,013.66

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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.