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Finding the Fourth Proportional to 9,704.10, 14,556.15 and 6,585.60

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Solution

The fourth proportional to 9,704.10, 14,556.15 and 6,585.60 is: 9,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.10 : 14,556.15 = 6,585.60 : x
  2. Step 2: Convert to fraction form
    9,704.10/14,556.15 = 6,585.60/x
  3. Step 3: Cross multiply
    9,704.10x = 14,556.15 × 6,585.60
  4. Step 4: Simplify right side
    9,704.10x = 95,860,981.44
  5. Step 5: Solve for x
    x = 95,860,981.44/9,704.10
  6. Step 6: Final answer
    x = 9,878.40

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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.