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Finding the Fourth Proportional to 9,269.77, 13,904.71 and 7,418.51

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Solution

The fourth proportional to 9,269.77, 13,904.71 and 7,418.51 is: 11,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.77 : 13,904.71 = 7,418.51 : x
  2. Step 2: Convert to fraction form
    9,269.77/13,904.71 = 7,418.51/x
  3. Step 3: Cross multiply
    9,269.77x = 13,904.71 × 7,418.51
  4. Step 4: Simplify right side
    9,269.77x = 103,152,230.18
  5. Step 5: Solve for x
    x = 103,152,230.18/9,269.77
  6. Step 6: Final answer
    x = 11,127.82

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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.