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Finding the Fourth Proportional to 9,648.42, 13,315.05 and 5,399.34

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Solution

The fourth proportional to 9,648.42, 13,315.05 and 5,399.34 is: 7,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.42 : 13,315.05 = 5,399.34 : x
  2. Step 2: Convert to fraction form
    9,648.42/13,315.05 = 5,399.34/x
  3. Step 3: Cross multiply
    9,648.42x = 13,315.05 × 5,399.34
  4. Step 4: Simplify right side
    9,648.42x = 71,892,482.07
  5. Step 5: Solve for x
    x = 71,892,482.07/9,648.42
  6. Step 6: Final answer
    x = 7,451.22

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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.