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Finding the Fourth Proportional to 9,032, 12,465.26 and 5,306

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Solution

The fourth proportional to 9,032, 12,465.26 and 5,306 is: 7,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032 : 12,465.26 = 5,306 : x
  2. Step 2: Convert to fraction form
    9,032/12,465.26 = 5,306/x
  3. Step 3: Cross multiply
    9,032x = 12,465.26 × 5,306
  4. Step 4: Simplify right side
    9,032x = 66,140,669.56
  5. Step 5: Solve for x
    x = 66,140,669.56/9,032
  6. Step 6: Final answer
    x = 7,322.93

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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.