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Finding the Fourth Proportional to 9,810.45, 13,538.41 and 5,334.19

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Solution

The fourth proportional to 9,810.45, 13,538.41 and 5,334.19 is: 7,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.45 : 13,538.41 = 5,334.19 : x
  2. Step 2: Convert to fraction form
    9,810.45/13,538.41 = 5,334.19/x
  3. Step 3: Cross multiply
    9,810.45x = 13,538.41 × 5,334.19
  4. Step 4: Simplify right side
    9,810.45x = 72,216,404.06
  5. Step 5: Solve for x
    x = 72,216,404.06/9,810.45
  6. Step 6: Final answer
    x = 7,361.17

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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.