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Finding the Fourth Proportional to 6,901.60, 9,525.72 and 4,544

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Solution

The fourth proportional to 6,901.60, 9,525.72 and 4,544 is: 6,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.60 : 9,525.72 = 4,544 : x
  2. Step 2: Convert to fraction form
    6,901.60/9,525.72 = 4,544/x
  3. Step 3: Cross multiply
    6,901.60x = 9,525.72 × 4,544
  4. Step 4: Simplify right side
    6,901.60x = 43,284,871.68
  5. Step 5: Solve for x
    x = 43,284,871.68/6,901.60
  6. Step 6: Final answer
    x = 6,271.72

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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.