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Finding the Fourth Proportional to 7,038.44, 9,712.94 and 4,054.30

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Solution

The fourth proportional to 7,038.44, 9,712.94 and 4,054.30 is: 5,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.44 : 9,712.94 = 4,054.30 : x
  2. Step 2: Convert to fraction form
    7,038.44/9,712.94 = 4,054.30/x
  3. Step 3: Cross multiply
    7,038.44x = 9,712.94 × 4,054.30
  4. Step 4: Simplify right side
    7,038.44x = 39,379,128.09
  5. Step 5: Solve for x
    x = 39,379,128.09/7,038.44
  6. Step 6: Final answer
    x = 5,594.87

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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.