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Finding the Fourth Proportional to 9,544.78, 13,175.40 and 6,402.76

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Solution

The fourth proportional to 9,544.78, 13,175.40 and 6,402.76 is: 8,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.78 : 13,175.40 = 6,402.76 : x
  2. Step 2: Convert to fraction form
    9,544.78/13,175.40 = 6,402.76/x
  3. Step 3: Cross multiply
    9,544.78x = 13,175.40 × 6,402.76
  4. Step 4: Simplify right side
    9,544.78x = 84,358,924.10
  5. Step 5: Solve for x
    x = 84,358,924.10/9,544.78
  6. Step 6: Final answer
    x = 8,838.23

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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.