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Finding the Fourth Proportional to 9,505.60, 14,258.40 and 6,395.20

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Solution

The fourth proportional to 9,505.60, 14,258.40 and 6,395.20 is: 9,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.60 : 14,258.40 = 6,395.20 : x
  2. Step 2: Convert to fraction form
    9,505.60/14,258.40 = 6,395.20/x
  3. Step 3: Cross multiply
    9,505.60x = 14,258.40 × 6,395.20
  4. Step 4: Simplify right side
    9,505.60x = 91,185,319.68
  5. Step 5: Solve for x
    x = 91,185,319.68/9,505.60
  6. Step 6: Final answer
    x = 9,592.80

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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.