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Finding the Fourth Proportional to 9,424.10, 13,005.16 and 5,175.14

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Solution

The fourth proportional to 9,424.10, 13,005.16 and 5,175.14 is: 7,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.10 : 13,005.16 = 5,175.14 : x
  2. Step 2: Convert to fraction form
    9,424.10/13,005.16 = 5,175.14/x
  3. Step 3: Cross multiply
    9,424.10x = 13,005.16 × 5,175.14
  4. Step 4: Simplify right side
    9,424.10x = 67,303,518.91
  5. Step 5: Solve for x
    x = 67,303,518.91/9,424.10
  6. Step 6: Final answer
    x = 7,141.64

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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.