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Finding the Fourth Proportional to 8,970.36, 13,446.81 and 4,289.16

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Solution

The fourth proportional to 8,970.36, 13,446.81 and 4,289.16 is: 6,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.36 : 13,446.81 = 4,289.16 : x
  2. Step 2: Convert to fraction form
    8,970.36/13,446.81 = 4,289.16/x
  3. Step 3: Cross multiply
    8,970.36x = 13,446.81 × 4,289.16
  4. Step 4: Simplify right side
    8,970.36x = 57,675,519.58
  5. Step 5: Solve for x
    x = 57,675,519.58/8,970.36
  6. Step 6: Final answer
    x = 6,429.57

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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.