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Finding the Fourth Proportional to 6,455.40, 9,699.32 and 4,116.48

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Solution

The fourth proportional to 6,455.40, 9,699.32 and 4,116.48 is: 6,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.40 : 9,699.32 = 4,116.48 : x
  2. Step 2: Convert to fraction form
    6,455.40/9,699.32 = 4,116.48/x
  3. Step 3: Cross multiply
    6,455.40x = 9,699.32 × 4,116.48
  4. Step 4: Simplify right side
    6,455.40x = 39,927,056.79
  5. Step 5: Solve for x
    x = 39,927,056.79/6,455.40
  6. Step 6: Final answer
    x = 6,185.06

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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.