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Finding the Fourth Proportional to 9,777.32, 14,638.01 and 6,483.86

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Solution

The fourth proportional to 9,777.32, 14,638.01 and 6,483.86 is: 9,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.32 : 14,638.01 = 6,483.86 : x
  2. Step 2: Convert to fraction form
    9,777.32/14,638.01 = 6,483.86/x
  3. Step 3: Cross multiply
    9,777.32x = 14,638.01 × 6,483.86
  4. Step 4: Simplify right side
    9,777.32x = 94,910,701.91
  5. Step 5: Solve for x
    x = 94,910,701.91/9,777.32
  6. Step 6: Final answer
    x = 9,707.24

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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.