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Finding the Fourth Proportional to 9,594.72, 14,381.01 and 5,215.86

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Solution

The fourth proportional to 9,594.72, 14,381.01 and 5,215.86 is: 7,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.72 : 14,381.01 = 5,215.86 : x
  2. Step 2: Convert to fraction form
    9,594.72/14,381.01 = 5,215.86/x
  3. Step 3: Cross multiply
    9,594.72x = 14,381.01 × 5,215.86
  4. Step 4: Simplify right side
    9,594.72x = 75,009,334.82
  5. Step 5: Solve for x
    x = 75,009,334.82/9,594.72
  6. Step 6: Final answer
    x = 7,817.77

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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.