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Finding the Fourth Proportional to 9,406.60, 14,108.59 and 6,586.89

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Solution

The fourth proportional to 9,406.60, 14,108.59 and 6,586.89 is: 9,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.60 : 14,108.59 = 6,586.89 : x
  2. Step 2: Convert to fraction form
    9,406.60/14,108.59 = 6,586.89/x
  3. Step 3: Cross multiply
    9,406.60x = 14,108.59 × 6,586.89
  4. Step 4: Simplify right side
    9,406.60x = 92,931,730.39
  5. Step 5: Solve for x
    x = 92,931,730.39/9,406.60
  6. Step 6: Final answer
    x = 9,879.42

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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.