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Finding the Fourth Proportional to 9,701.34, 13,386.81 and 6,513.99

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Solution

The fourth proportional to 9,701.34, 13,386.81 and 6,513.99 is: 8,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.34 : 13,386.81 = 6,513.99 : x
  2. Step 2: Convert to fraction form
    9,701.34/13,386.81 = 6,513.99/x
  3. Step 3: Cross multiply
    9,701.34x = 13,386.81 × 6,513.99
  4. Step 4: Simplify right side
    9,701.34x = 87,201,546.47
  5. Step 5: Solve for x
    x = 87,201,546.47/9,701.34
  6. Step 6: Final answer
    x = 8,988.61

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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.