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Finding the Fourth Proportional to 9,211.04, 12,705.36 and 7,534.88

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Solution

The fourth proportional to 9,211.04, 12,705.36 and 7,534.88 is: 10,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.04 : 12,705.36 = 7,534.88 : x
  2. Step 2: Convert to fraction form
    9,211.04/12,705.36 = 7,534.88/x
  3. Step 3: Cross multiply
    9,211.04x = 12,705.36 × 7,534.88
  4. Step 4: Simplify right side
    9,211.04x = 95,733,362.96
  5. Step 5: Solve for x
    x = 95,733,362.96/9,211.04
  6. Step 6: Final answer
    x = 10,393.33

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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.