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Finding the Fourth Proportional to 6,948.56, 9,588.90 and 3,804.68

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Solution

The fourth proportional to 6,948.56, 9,588.90 and 3,804.68 is: 5,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.56 : 9,588.90 = 3,804.68 : x
  2. Step 2: Convert to fraction form
    6,948.56/9,588.90 = 3,804.68/x
  3. Step 3: Cross multiply
    6,948.56x = 9,588.90 × 3,804.68
  4. Step 4: Simplify right side
    6,948.56x = 36,482,696.05
  5. Step 5: Solve for x
    x = 36,482,696.05/6,948.56
  6. Step 6: Final answer
    x = 5,250.40

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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.