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Finding the Fourth Proportional to 9,464.12, 13,078.44 and 7,102.16

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Solution

The fourth proportional to 9,464.12, 13,078.44 and 7,102.16 is: 9,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.12 : 13,078.44 = 7,102.16 : x
  2. Step 2: Convert to fraction form
    9,464.12/13,078.44 = 7,102.16/x
  3. Step 3: Cross multiply
    9,464.12x = 13,078.44 × 7,102.16
  4. Step 4: Simplify right side
    9,464.12x = 92,885,173.43
  5. Step 5: Solve for x
    x = 92,885,173.43/9,464.12
  6. Step 6: Final answer
    x = 9,814.45

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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.