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Finding the Fourth Proportional to 9,653.32, 13,321.10 and 5,404.28

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Solution

The fourth proportional to 9,653.32, 13,321.10 and 5,404.28 is: 7,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.32 : 13,321.10 = 5,404.28 : x
  2. Step 2: Convert to fraction form
    9,653.32/13,321.10 = 5,404.28/x
  3. Step 3: Cross multiply
    9,653.32x = 13,321.10 × 5,404.28
  4. Step 4: Simplify right side
    9,653.32x = 71,990,954.31
  5. Step 5: Solve for x
    x = 71,990,954.31/9,653.32
  6. Step 6: Final answer
    x = 7,457.64

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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.