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Finding the Fourth Proportional to 9,863.51, 13,614.68 and 6,880.34

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Solution

The fourth proportional to 9,863.51, 13,614.68 and 6,880.34 is: 9,497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.51 : 13,614.68 = 6,880.34 : x
  2. Step 2: Convert to fraction form
    9,863.51/13,614.68 = 6,880.34/x
  3. Step 3: Cross multiply
    9,863.51x = 13,614.68 × 6,880.34
  4. Step 4: Simplify right side
    9,863.51x = 93,673,678.63
  5. Step 5: Solve for x
    x = 93,673,678.63/9,863.51
  6. Step 6: Final answer
    x = 9,497.00

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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.