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Finding the Fourth Proportional to 9,027.32, 12,457.13 and 5,670

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Solution

The fourth proportional to 9,027.32, 12,457.13 and 5,670 is: 7,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.32 : 12,457.13 = 5,670 : x
  2. Step 2: Convert to fraction form
    9,027.32/12,457.13 = 5,670/x
  3. Step 3: Cross multiply
    9,027.32x = 12,457.13 × 5,670
  4. Step 4: Simplify right side
    9,027.32x = 70,631,898.75
  5. Step 5: Solve for x
    x = 70,631,898.75/9,027.32
  6. Step 6: Final answer
    x = 7,824.24

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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.