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Finding the Fourth Proportional to 9,670.11, 13,344.60 and 5,421.16

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Solution

The fourth proportional to 9,670.11, 13,344.60 and 5,421.16 is: 7,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.11 : 13,344.60 = 5,421.16 : x
  2. Step 2: Convert to fraction form
    9,670.11/13,344.60 = 5,421.16/x
  3. Step 3: Cross multiply
    9,670.11x = 13,344.60 × 5,421.16
  4. Step 4: Simplify right side
    9,670.11x = 72,343,211.74
  5. Step 5: Solve for x
    x = 72,343,211.74/9,670.11
  6. Step 6: Final answer
    x = 7,481.12

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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.