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Finding the Fourth Proportional to 9,780.90, 14,671.32 and 3,460.47

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Solution

The fourth proportional to 9,780.90, 14,671.32 and 3,460.47 is: 5,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.90 : 14,671.32 = 3,460.47 : x
  2. Step 2: Convert to fraction form
    9,780.90/14,671.32 = 3,460.47/x
  3. Step 3: Cross multiply
    9,780.90x = 14,671.32 × 3,460.47
  4. Step 4: Simplify right side
    9,780.90x = 50,769,662.72
  5. Step 5: Solve for x
    x = 50,769,662.72/9,780.90
  6. Step 6: Final answer
    x = 5,190.69

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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.