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Finding the Fourth Proportional to 9,428.94, 14,130 and 6,944.22

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Solution

The fourth proportional to 9,428.94, 14,130 and 6,944.22 is: 10,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.94 : 14,130 = 6,944.22 : x
  2. Step 2: Convert to fraction form
    9,428.94/14,130 = 6,944.22/x
  3. Step 3: Cross multiply
    9,428.94x = 14,130 × 6,944.22
  4. Step 4: Simplify right side
    9,428.94x = 98,121,828.60
  5. Step 5: Solve for x
    x = 98,121,828.60/9,428.94
  6. Step 6: Final answer
    x = 10,406.45

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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.