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Finding the Fourth Proportional to 9,852.40, 13,596.38 and 5,376.16

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Solution

The fourth proportional to 9,852.40, 13,596.38 and 5,376.16 is: 7,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.40 : 13,596.38 = 5,376.16 : x
  2. Step 2: Convert to fraction form
    9,852.40/13,596.38 = 5,376.16/x
  3. Step 3: Cross multiply
    9,852.40x = 13,596.38 × 5,376.16
  4. Step 4: Simplify right side
    9,852.40x = 73,096,314.30
  5. Step 5: Solve for x
    x = 73,096,314.30/9,852.40
  6. Step 6: Final answer
    x = 7,419.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.