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Finding the Fourth Proportional to 9,430.40, 14,145.60 and 9,284.60

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Solution

The fourth proportional to 9,430.40, 14,145.60 and 9,284.60 is: 13,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.40 : 14,145.60 = 9,284.60 : x
  2. Step 2: Convert to fraction form
    9,430.40/14,145.60 = 9,284.60/x
  3. Step 3: Cross multiply
    9,430.40x = 14,145.60 × 9,284.60
  4. Step 4: Simplify right side
    9,430.40x = 131,336,237.76
  5. Step 5: Solve for x
    x = 131,336,237.76/9,430.40
  6. Step 6: Final answer
    x = 13,926.90

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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.