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Finding the Fourth Proportional to 6,465.98, 9,703.02 and 2,955.44

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Solution

The fourth proportional to 6,465.98, 9,703.02 and 2,955.44 is: 4,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.98 : 9,703.02 = 2,955.44 : x
  2. Step 2: Convert to fraction form
    6,465.98/9,703.02 = 2,955.44/x
  3. Step 3: Cross multiply
    6,465.98x = 9,703.02 × 2,955.44
  4. Step 4: Simplify right side
    6,465.98x = 28,676,693.43
  5. Step 5: Solve for x
    x = 28,676,693.43/6,465.98
  6. Step 6: Final answer
    x = 4,435.01

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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.