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Finding the Fourth Proportional to 9,995.64, 13,785.06 and 6,455.13

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Solution

The fourth proportional to 9,995.64, 13,785.06 and 6,455.13 is: 8,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.64 : 13,785.06 = 6,455.13 : x
  2. Step 2: Convert to fraction form
    9,995.64/13,785.06 = 6,455.13/x
  3. Step 3: Cross multiply
    9,995.64x = 13,785.06 × 6,455.13
  4. Step 4: Simplify right side
    9,995.64x = 88,984,354.36
  5. Step 5: Solve for x
    x = 88,984,354.36/9,995.64
  6. Step 6: Final answer
    x = 8,902.32

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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.