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Finding the Fourth Proportional to 9,804.88, 14,707.96 and 7,180.24

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Solution

The fourth proportional to 9,804.88, 14,707.96 and 7,180.24 is: 10,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.88 : 14,707.96 = 7,180.24 : x
  2. Step 2: Convert to fraction form
    9,804.88/14,707.96 = 7,180.24/x
  3. Step 3: Cross multiply
    9,804.88x = 14,707.96 × 7,180.24
  4. Step 4: Simplify right side
    9,804.88x = 105,606,682.71
  5. Step 5: Solve for x
    x = 105,606,682.71/9,804.88
  6. Step 6: Final answer
    x = 10,770.83

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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.