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Finding the Fourth Proportional to 6,405.46, 9,607.40 and 1,725.84

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Solution

The fourth proportional to 6,405.46, 9,607.40 and 1,725.84 is: 2,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.46 : 9,607.40 = 1,725.84 : x
  2. Step 2: Convert to fraction form
    6,405.46/9,607.40 = 1,725.84/x
  3. Step 3: Cross multiply
    6,405.46x = 9,607.40 × 1,725.84
  4. Step 4: Simplify right side
    6,405.46x = 16,580,835.22
  5. Step 5: Solve for x
    x = 16,580,835.22/6,405.46
  6. Step 6: Final answer
    x = 2,588.55

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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.