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Finding the Fourth Proportional to 6,954.64, 9,597.45 and 3,810.94

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Solution

The fourth proportional to 6,954.64, 9,597.45 and 3,810.94 is: 5,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.64 : 9,597.45 = 3,810.94 : x
  2. Step 2: Convert to fraction form
    6,954.64/9,597.45 = 3,810.94/x
  3. Step 3: Cross multiply
    6,954.64x = 9,597.45 × 3,810.94
  4. Step 4: Simplify right side
    6,954.64x = 36,575,306.10
  5. Step 5: Solve for x
    x = 36,575,306.10/6,954.64
  6. Step 6: Final answer
    x = 5,259.12

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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.