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Finding the Fourth Proportional to 9,671.02, 14,503.83 and 3,430.24

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Solution

The fourth proportional to 9,671.02, 14,503.83 and 3,430.24 is: 5,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.02 : 14,503.83 = 3,430.24 : x
  2. Step 2: Convert to fraction form
    9,671.02/14,503.83 = 3,430.24/x
  3. Step 3: Cross multiply
    9,671.02x = 14,503.83 × 3,430.24
  4. Step 4: Simplify right side
    9,671.02x = 49,751,617.82
  5. Step 5: Solve for x
    x = 49,751,617.82/9,671.02
  6. Step 6: Final answer
    x = 5,144.40

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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.