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Finding the Fourth Proportional to 9,551.84, 14,329.38 and 2,977.88

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Solution

The fourth proportional to 9,551.84, 14,329.38 and 2,977.88 is: 4,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.84 : 14,329.38 = 2,977.88 : x
  2. Step 2: Convert to fraction form
    9,551.84/14,329.38 = 2,977.88/x
  3. Step 3: Cross multiply
    9,551.84x = 14,329.38 × 2,977.88
  4. Step 4: Simplify right side
    9,551.84x = 42,671,174.11
  5. Step 5: Solve for x
    x = 42,671,174.11/9,551.84
  6. Step 6: Final answer
    x = 4,467.33

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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.