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Finding the Fourth Proportional to 9,775.90, 14,671.41 and 3,937.42

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Solution

The fourth proportional to 9,775.90, 14,671.41 and 3,937.42 is: 5,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.90 : 14,671.41 = 3,937.42 : x
  2. Step 2: Convert to fraction form
    9,775.90/14,671.41 = 3,937.42/x
  3. Step 3: Cross multiply
    9,775.90x = 14,671.41 × 3,937.42
  4. Step 4: Simplify right side
    9,775.90x = 57,767,503.16
  5. Step 5: Solve for x
    x = 57,767,503.16/9,775.90
  6. Step 6: Final answer
    x = 5,909.17

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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.