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Finding the Fourth Proportional to 7,104.46, 9,808.35 and 6,316.33

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Solution

The fourth proportional to 7,104.46, 9,808.35 and 6,316.33 is: 8,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.46 : 9,808.35 = 6,316.33 : x
  2. Step 2: Convert to fraction form
    7,104.46/9,808.35 = 6,316.33/x
  3. Step 3: Cross multiply
    7,104.46x = 9,808.35 × 6,316.33
  4. Step 4: Simplify right side
    7,104.46x = 61,952,726.31
  5. Step 5: Solve for x
    x = 61,952,726.31/7,104.46
  6. Step 6: Final answer
    x = 8,720.26

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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.