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Finding the Fourth Proportional to 6,955.19, 9,598.16 and 4,160.69

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Solution

The fourth proportional to 6,955.19, 9,598.16 and 4,160.69 is: 5,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.19 : 9,598.16 = 4,160.69 : x
  2. Step 2: Convert to fraction form
    6,955.19/9,598.16 = 4,160.69/x
  3. Step 3: Cross multiply
    6,955.19x = 9,598.16 × 4,160.69
  4. Step 4: Simplify right side
    6,955.19x = 39,934,968.33
  5. Step 5: Solve for x
    x = 39,934,968.33/6,955.19
  6. Step 6: Final answer
    x = 5,741.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.