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Finding the Fourth Proportional to 9,613.85, 14,419.33 and 7,980.89

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Solution

The fourth proportional to 9,613.85, 14,419.33 and 7,980.89 is: 11,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.85 : 14,419.33 = 7,980.89 : x
  2. Step 2: Convert to fraction form
    9,613.85/14,419.33 = 7,980.89/x
  3. Step 3: Cross multiply
    9,613.85x = 14,419.33 × 7,980.89
  4. Step 4: Simplify right side
    9,613.85x = 115,078,994.55
  5. Step 5: Solve for x
    x = 115,078,994.55/9,613.85
  6. Step 6: Final answer
    x = 11,970.13

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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.