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Finding the Fourth Proportional to 6,515.12, 9,772.00 and 1,835.01

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Solution

The fourth proportional to 6,515.12, 9,772.00 and 1,835.01 is: 2,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.12 : 9,772.00 = 1,835.01 : x
  2. Step 2: Convert to fraction form
    6,515.12/9,772.00 = 1,835.01/x
  3. Step 3: Cross multiply
    6,515.12x = 9,772.00 × 1,835.01
  4. Step 4: Simplify right side
    6,515.12x = 17,931,713.13
  5. Step 5: Solve for x
    x = 17,931,713.13/6,515.12
  6. Step 6: Final answer
    x = 2,752.32

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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.