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Finding the Fourth Proportional to 6,303, 9,448.34 and 2,607.82

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Solution

The fourth proportional to 6,303, 9,448.34 and 2,607.82 is: 3,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303 : 9,448.34 = 2,607.82 : x
  2. Step 2: Convert to fraction form
    6,303/9,448.34 = 2,607.82/x
  3. Step 3: Cross multiply
    6,303x = 9,448.34 × 2,607.82
  4. Step 4: Simplify right side
    6,303x = 24,639,570.02
  5. Step 5: Solve for x
    x = 24,639,570.02/6,303
  6. Step 6: Final answer
    x = 3,909.18

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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.