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Finding the Fourth Proportional to 9,618.40, 14,427.60 and 6,277.60

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Solution

The fourth proportional to 9,618.40, 14,427.60 and 6,277.60 is: 9,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.40 : 14,427.60 = 6,277.60 : x
  2. Step 2: Convert to fraction form
    9,618.40/14,427.60 = 6,277.60/x
  3. Step 3: Cross multiply
    9,618.40x = 14,427.60 × 6,277.60
  4. Step 4: Simplify right side
    9,618.40x = 90,570,701.76
  5. Step 5: Solve for x
    x = 90,570,701.76/9,618.40
  6. Step 6: Final answer
    x = 9,416.40

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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.