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Finding the Fourth Proportional to 9,318.51, 13,972 and 4,389.39

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Solution

The fourth proportional to 9,318.51, 13,972 and 4,389.39 is: 6,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.51 : 13,972 = 4,389.39 : x
  2. Step 2: Convert to fraction form
    9,318.51/13,972 = 4,389.39/x
  3. Step 3: Cross multiply
    9,318.51x = 13,972 × 4,389.39
  4. Step 4: Simplify right side
    9,318.51x = 61,328,557.08
  5. Step 5: Solve for x
    x = 61,328,557.08/9,318.51
  6. Step 6: Final answer
    x = 6,581.37

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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.