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Finding the Fourth Proportional to 9,424.51, 14,118.51 and 5,035.93

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Solution

The fourth proportional to 9,424.51, 14,118.51 and 5,035.93 is: 7,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.51 : 14,118.51 = 5,035.93 : x
  2. Step 2: Convert to fraction form
    9,424.51/14,118.51 = 5,035.93/x
  3. Step 3: Cross multiply
    9,424.51x = 14,118.51 × 5,035.93
  4. Step 4: Simplify right side
    9,424.51x = 71,099,828.06
  5. Step 5: Solve for x
    x = 71,099,828.06/9,424.51
  6. Step 6: Final answer
    x = 7,544.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.