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Finding the Fourth Proportional to 9,595.24, 14,378.74 and 4,659.24

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Solution

The fourth proportional to 9,595.24, 14,378.74 and 4,659.24 is: 6,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.24 : 14,378.74 = 4,659.24 : x
  2. Step 2: Convert to fraction form
    9,595.24/14,378.74 = 4,659.24/x
  3. Step 3: Cross multiply
    9,595.24x = 14,378.74 × 4,659.24
  4. Step 4: Simplify right side
    9,595.24x = 66,994,000.56
  5. Step 5: Solve for x
    x = 66,994,000.56/9,595.24
  6. Step 6: Final answer
    x = 6,982.00

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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.