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Finding the Fourth Proportional to 9,572.56, 14,357.20 and 2,647.08

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Solution

The fourth proportional to 9,572.56, 14,357.20 and 2,647.08 is: 3,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.56 : 14,357.20 = 2,647.08 : x
  2. Step 2: Convert to fraction form
    9,572.56/14,357.20 = 2,647.08/x
  3. Step 3: Cross multiply
    9,572.56x = 14,357.20 × 2,647.08
  4. Step 4: Simplify right side
    9,572.56x = 38,004,656.98
  5. Step 5: Solve for x
    x = 38,004,656.98/9,572.56
  6. Step 6: Final answer
    x = 3,970.17

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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.