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Finding the Fourth Proportional to 9,505.60, 14,258.40 and 9,359.80

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Solution

The fourth proportional to 9,505.60, 14,258.40 and 9,359.80 is: 14,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.60 : 14,258.40 = 9,359.80 : x
  2. Step 2: Convert to fraction form
    9,505.60/14,258.40 = 9,359.80/x
  3. Step 3: Cross multiply
    9,505.60x = 14,258.40 × 9,359.80
  4. Step 4: Simplify right side
    9,505.60x = 133,455,772.32
  5. Step 5: Solve for x
    x = 133,455,772.32/9,505.60
  6. Step 6: Final answer
    x = 14,039.70

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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.