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Finding the Fourth Proportional to 9,657.42, 13,324.12 and 5,407.84

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Solution

The fourth proportional to 9,657.42, 13,324.12 and 5,407.84 is: 7,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.42 : 13,324.12 = 5,407.84 : x
  2. Step 2: Convert to fraction form
    9,657.42/13,324.12 = 5,407.84/x
  3. Step 3: Cross multiply
    9,657.42x = 13,324.12 × 5,407.84
  4. Step 4: Simplify right side
    9,657.42x = 72,054,709.10
  5. Step 5: Solve for x
    x = 72,054,709.10/9,657.42
  6. Step 6: Final answer
    x = 7,461.07

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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.