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Finding the Fourth Proportional to 6,403.46, 9,605.18 and 2,895.13

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Solution

The fourth proportional to 6,403.46, 9,605.18 and 2,895.13 is: 4,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.46 : 9,605.18 = 2,895.13 : x
  2. Step 2: Convert to fraction form
    6,403.46/9,605.18 = 2,895.13/x
  3. Step 3: Cross multiply
    6,403.46x = 9,605.18 × 2,895.13
  4. Step 4: Simplify right side
    6,403.46x = 27,808,250.51
  5. Step 5: Solve for x
    x = 27,808,250.51/6,403.46
  6. Step 6: Final answer
    x = 4,342.69

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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.