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Finding the Fourth Proportional to 9,574.34, 14,364.24 and 4,024.82

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Solution

The fourth proportional to 9,574.34, 14,364.24 and 4,024.82 is: 6,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.34 : 14,364.24 = 4,024.82 : x
  2. Step 2: Convert to fraction form
    9,574.34/14,364.24 = 4,024.82/x
  3. Step 3: Cross multiply
    9,574.34x = 14,364.24 × 4,024.82
  4. Step 4: Simplify right side
    9,574.34x = 57,813,408.62
  5. Step 5: Solve for x
    x = 57,813,408.62/9,574.34
  6. Step 6: Final answer
    x = 6,038.37

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