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Finding the Fourth Proportional to 6,577.94, 9,782.32 and 6,370.29

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Solution

The fourth proportional to 6,577.94, 9,782.32 and 6,370.29 is: 9,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.94 : 9,782.32 = 6,370.29 : x
  2. Step 2: Convert to fraction form
    6,577.94/9,782.32 = 6,370.29/x
  3. Step 3: Cross multiply
    6,577.94x = 9,782.32 × 6,370.29
  4. Step 4: Simplify right side
    6,577.94x = 62,316,166.36
  5. Step 5: Solve for x
    x = 62,316,166.36/6,577.94
  6. Step 6: Final answer
    x = 9,473.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.