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Finding the Fourth Proportional to 9,476.87, 13,078.49 and 5,700.24

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Solution

The fourth proportional to 9,476.87, 13,078.49 and 5,700.24 is: 7,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.87 : 13,078.49 = 5,700.24 : x
  2. Step 2: Convert to fraction form
    9,476.87/13,078.49 = 5,700.24/x
  3. Step 3: Cross multiply
    9,476.87x = 13,078.49 × 5,700.24
  4. Step 4: Simplify right side
    9,476.87x = 74,550,503.34
  5. Step 5: Solve for x
    x = 74,550,503.34/9,476.87
  6. Step 6: Final answer
    x = 7,866.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.