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Finding the Fourth Proportional to 9,810.64, 14,716.92 and 3,653.20

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Solution

The fourth proportional to 9,810.64, 14,716.92 and 3,653.20 is: 5,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.64 : 14,716.92 = 3,653.20 : x
  2. Step 2: Convert to fraction form
    9,810.64/14,716.92 = 3,653.20/x
  3. Step 3: Cross multiply
    9,810.64x = 14,716.92 × 3,653.20
  4. Step 4: Simplify right side
    9,810.64x = 53,763,852.14
  5. Step 5: Solve for x
    x = 53,763,852.14/9,810.64
  6. Step 6: Final answer
    x = 5,480.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.