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Finding the Fourth Proportional to 9,587.96, 13,235.46 and 6,445.97

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Solution

The fourth proportional to 9,587.96, 13,235.46 and 6,445.97 is: 8,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.96 : 13,235.46 = 6,445.97 : x
  2. Step 2: Convert to fraction form
    9,587.96/13,235.46 = 6,445.97/x
  3. Step 3: Cross multiply
    9,587.96x = 13,235.46 × 6,445.97
  4. Step 4: Simplify right side
    9,587.96x = 85,315,378.10
  5. Step 5: Solve for x
    x = 85,315,378.10/9,587.96
  6. Step 6: Final answer
    x = 8,898.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.