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Finding the Fourth Proportional to 7,038.56, 9,713.12 and 4,054.34

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Solution

The fourth proportional to 7,038.56, 9,713.12 and 4,054.34 is: 5,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.56 : 9,713.12 = 4,054.34 : x
  2. Step 2: Convert to fraction form
    7,038.56/9,713.12 = 4,054.34/x
  3. Step 3: Cross multiply
    7,038.56x = 9,713.12 × 4,054.34
  4. Step 4: Simplify right side
    7,038.56x = 39,380,290.94
  5. Step 5: Solve for x
    x = 39,380,290.94/7,038.56
  6. Step 6: Final answer
    x = 5,594.94

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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.