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Finding the Fourth Proportional to 9,745, 13,448.10 and 5,329

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Solution

The fourth proportional to 9,745, 13,448.10 and 5,329 is: 7,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745 : 13,448.10 = 5,329 : x
  2. Step 2: Convert to fraction form
    9,745/13,448.10 = 5,329/x
  3. Step 3: Cross multiply
    9,745x = 13,448.10 × 5,329
  4. Step 4: Simplify right side
    9,745x = 71,664,924.90
  5. Step 5: Solve for x
    x = 71,664,924.90/9,745
  6. Step 6: Final answer
    x = 7,354.02

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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.