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Finding the Fourth Proportional to 9,671.20, 14,507.34 and 2,746.24

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Solution

The fourth proportional to 9,671.20, 14,507.34 and 2,746.24 is: 4,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.20 : 14,507.34 = 2,746.24 : x
  2. Step 2: Convert to fraction form
    9,671.20/14,507.34 = 2,746.24/x
  3. Step 3: Cross multiply
    9,671.20x = 14,507.34 × 2,746.24
  4. Step 4: Simplify right side
    9,671.20x = 39,840,637.40
  5. Step 5: Solve for x
    x = 39,840,637.40/9,671.20
  6. Step 6: Final answer
    x = 4,119.51

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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.