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Finding the Fourth Proportional to 9,392.12, 14,088.18 and 6,461.56

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Solution

The fourth proportional to 9,392.12, 14,088.18 and 6,461.56 is: 9,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.12 : 14,088.18 = 6,461.56 : x
  2. Step 2: Convert to fraction form
    9,392.12/14,088.18 = 6,461.56/x
  3. Step 3: Cross multiply
    9,392.12x = 14,088.18 × 6,461.56
  4. Step 4: Simplify right side
    9,392.12x = 91,031,620.36
  5. Step 5: Solve for x
    x = 91,031,620.36/9,392.12
  6. Step 6: Final answer
    x = 9,692.34

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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.