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Finding the Fourth Proportional to 9,396.96, 12,968.64 and 5,364.24

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Solution

The fourth proportional to 9,396.96, 12,968.64 and 5,364.24 is: 7,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.96 : 12,968.64 = 5,364.24 : x
  2. Step 2: Convert to fraction form
    9,396.96/12,968.64 = 5,364.24/x
  3. Step 3: Cross multiply
    9,396.96x = 12,968.64 × 5,364.24
  4. Step 4: Simplify right side
    9,396.96x = 69,566,897.43
  5. Step 5: Solve for x
    x = 69,566,897.43/9,396.96
  6. Step 6: Final answer
    x = 7,403.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.