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Finding the Fourth Proportional to 9,980.51, 14,970.83 and 4,770.59

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Solution

The fourth proportional to 9,980.51, 14,970.83 and 4,770.59 is: 7,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.51 : 14,970.83 = 4,770.59 : x
  2. Step 2: Convert to fraction form
    9,980.51/14,970.83 = 4,770.59/x
  3. Step 3: Cross multiply
    9,980.51x = 14,970.83 × 4,770.59
  4. Step 4: Simplify right side
    9,980.51x = 71,419,593.18
  5. Step 5: Solve for x
    x = 71,419,593.18/9,980.51
  6. Step 6: Final answer
    x = 7,155.91

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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.