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Finding the Fourth Proportional to 9,918.63, 13,686.84 and 5,668.85

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Solution

The fourth proportional to 9,918.63, 13,686.84 and 5,668.85 is: 7,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.63 : 13,686.84 = 5,668.85 : x
  2. Step 2: Convert to fraction form
    9,918.63/13,686.84 = 5,668.85/x
  3. Step 3: Cross multiply
    9,918.63x = 13,686.84 × 5,668.85
  4. Step 4: Simplify right side
    9,918.63x = 77,588,574.50
  5. Step 5: Solve for x
    x = 77,588,574.50/9,918.63
  6. Step 6: Final answer
    x = 7,822.51

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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.