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Finding the Fourth Proportional to 8,964.34, 12,370.53 and 5,188.12

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Solution

The fourth proportional to 8,964.34, 12,370.53 and 5,188.12 is: 7,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.34 : 12,370.53 = 5,188.12 : x
  2. Step 2: Convert to fraction form
    8,964.34/12,370.53 = 5,188.12/x
  3. Step 3: Cross multiply
    8,964.34x = 12,370.53 × 5,188.12
  4. Step 4: Simplify right side
    8,964.34x = 64,179,794.10
  5. Step 5: Solve for x
    x = 64,179,794.10/8,964.34
  6. Step 6: Final answer
    x = 7,159.46

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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.