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Finding the Fourth Proportional to 9,005.12, 13,485.44 and 5,708.16

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Solution

The fourth proportional to 9,005.12, 13,485.44 and 5,708.16 is: 8,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.12 : 13,485.44 = 5,708.16 : x
  2. Step 2: Convert to fraction form
    9,005.12/13,485.44 = 5,708.16/x
  3. Step 3: Cross multiply
    9,005.12x = 13,485.44 × 5,708.16
  4. Step 4: Simplify right side
    9,005.12x = 76,977,049.19
  5. Step 5: Solve for x
    x = 76,977,049.19/9,005.12
  6. Step 6: Final answer
    x = 8,548.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.