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Finding the Fourth Proportional to 9,377.69, 14,066.73 and 2,804.00

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Solution

The fourth proportional to 9,377.69, 14,066.73 and 2,804.00 is: 4,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.69 : 14,066.73 = 2,804.00 : x
  2. Step 2: Convert to fraction form
    9,377.69/14,066.73 = 2,804.00/x
  3. Step 3: Cross multiply
    9,377.69x = 14,066.73 × 2,804.00
  4. Step 4: Simplify right side
    9,377.69x = 39,443,040.59
  5. Step 5: Solve for x
    x = 39,443,040.59/9,377.69
  6. Step 6: Final answer
    x = 4,206.05

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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.