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Finding the Fourth Proportional to 9,844.65, 13,585.64 and 5,368.43

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Solution

The fourth proportional to 9,844.65, 13,585.64 and 5,368.43 is: 7,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.65 : 13,585.64 = 5,368.43 : x
  2. Step 2: Convert to fraction form
    9,844.65/13,585.64 = 5,368.43/x
  3. Step 3: Cross multiply
    9,844.65x = 13,585.64 × 5,368.43
  4. Step 4: Simplify right side
    9,844.65x = 72,933,564.47
  5. Step 5: Solve for x
    x = 72,933,564.47/9,844.65
  6. Step 6: Final answer
    x = 7,408.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.