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Finding the Fourth Proportional to 9,916.63, 13,684.07 and 5,666.84

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Solution

The fourth proportional to 9,916.63, 13,684.07 and 5,666.84 is: 7,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.63 : 13,684.07 = 5,666.84 : x
  2. Step 2: Convert to fraction form
    9,916.63/13,684.07 = 5,666.84/x
  3. Step 3: Cross multiply
    9,916.63x = 13,684.07 × 5,666.84
  4. Step 4: Simplify right side
    9,916.63x = 77,545,406.90
  5. Step 5: Solve for x
    x = 77,545,406.90/9,916.63
  6. Step 6: Final answer
    x = 7,819.74

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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.