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Finding the Fourth Proportional to 6,475.60, 9,705.40 and 4,395.60

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Solution

The fourth proportional to 6,475.60, 9,705.40 and 4,395.60 is: 6,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.60 : 9,705.40 = 4,395.60 : x
  2. Step 2: Convert to fraction form
    6,475.60/9,705.40 = 4,395.60/x
  3. Step 3: Cross multiply
    6,475.60x = 9,705.40 × 4,395.60
  4. Step 4: Simplify right side
    6,475.60x = 42,661,056.24
  5. Step 5: Solve for x
    x = 42,661,056.24/6,475.60
  6. Step 6: Final answer
    x = 6,587.97

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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.