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Finding the Fourth Proportional to 9,384.56, 14,064.42 and 4,992.56

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Solution

The fourth proportional to 9,384.56, 14,064.42 and 4,992.56 is: 7,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.56 : 14,064.42 = 4,992.56 : x
  2. Step 2: Convert to fraction form
    9,384.56/14,064.42 = 4,992.56/x
  3. Step 3: Cross multiply
    9,384.56x = 14,064.42 × 4,992.56
  4. Step 4: Simplify right side
    9,384.56x = 70,217,460.72
  5. Step 5: Solve for x
    x = 70,217,460.72/9,384.56
  6. Step 6: Final answer
    x = 7,482.23

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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.