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Finding the Fourth Proportional to 9,740, 13,452.18 and 6,590.72

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Solution

The fourth proportional to 9,740, 13,452.18 and 6,590.72 is: 9,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740 : 13,452.18 = 6,590.72 : x
  2. Step 2: Convert to fraction form
    9,740/13,452.18 = 6,590.72/x
  3. Step 3: Cross multiply
    9,740x = 13,452.18 × 6,590.72
  4. Step 4: Simplify right side
    9,740x = 88,659,551.77
  5. Step 5: Solve for x
    x = 88,659,551.77/9,740
  6. Step 6: Final answer
    x = 9,102.62

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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.