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Finding the Fourth Proportional to 9,852.74, 13,596.57 and 5,376.62

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Solution

The fourth proportional to 9,852.74, 13,596.57 and 5,376.62 is: 7,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.74 : 13,596.57 = 5,376.62 : x
  2. Step 2: Convert to fraction form
    9,852.74/13,596.57 = 5,376.62/x
  3. Step 3: Cross multiply
    9,852.74x = 13,596.57 × 5,376.62
  4. Step 4: Simplify right side
    9,852.74x = 73,103,590.19
  5. Step 5: Solve for x
    x = 73,103,590.19/9,852.74
  6. Step 6: Final answer
    x = 7,419.62

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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.