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Finding the Fourth Proportional to 7,045.60, 9,722.93 and 3,858.90

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Solution

The fourth proportional to 7,045.60, 9,722.93 and 3,858.90 is: 5,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.60 : 9,722.93 = 3,858.90 : x
  2. Step 2: Convert to fraction form
    7,045.60/9,722.93 = 3,858.90/x
  3. Step 3: Cross multiply
    7,045.60x = 9,722.93 × 3,858.90
  4. Step 4: Simplify right side
    7,045.60x = 37,519,795.28
  5. Step 5: Solve for x
    x = 37,519,795.28/7,045.60
  6. Step 6: Final answer
    x = 5,325.28

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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.