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Finding the Fourth Proportional to 9,671.90, 14,509.04 and 3,748.88

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Solution

The fourth proportional to 9,671.90, 14,509.04 and 3,748.88 is: 5,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.90 : 14,509.04 = 3,748.88 : x
  2. Step 2: Convert to fraction form
    9,671.90/14,509.04 = 3,748.88/x
  3. Step 3: Cross multiply
    9,671.90x = 14,509.04 × 3,748.88
  4. Step 4: Simplify right side
    9,671.90x = 54,392,667.40
  5. Step 5: Solve for x
    x = 54,392,667.40/9,671.90
  6. Step 6: Final answer
    x = 5,623.79

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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.