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Finding the Fourth Proportional to 9,852.90, 13,596.50 and 5,376.62

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Solution

The fourth proportional to 9,852.90, 13,596.50 and 5,376.62 is: 7,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.90 : 13,596.50 = 5,376.62 : x
  2. Step 2: Convert to fraction form
    9,852.90/13,596.50 = 5,376.62/x
  3. Step 3: Cross multiply
    9,852.90x = 13,596.50 × 5,376.62
  4. Step 4: Simplify right side
    9,852.90x = 73,103,118.96
  5. Step 5: Solve for x
    x = 73,103,118.96/9,852.90
  6. Step 6: Final answer
    x = 7,419.45

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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.