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Finding the Fourth Proportional to 9,627.76, 13,258.44 and 6,970.96

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Solution

The fourth proportional to 9,627.76, 13,258.44 and 6,970.96 is: 9,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.76 : 13,258.44 = 6,970.96 : x
  2. Step 2: Convert to fraction form
    9,627.76/13,258.44 = 6,970.96/x
  3. Step 3: Cross multiply
    9,627.76x = 13,258.44 × 6,970.96
  4. Step 4: Simplify right side
    9,627.76x = 92,424,054.90
  5. Step 5: Solve for x
    x = 92,424,054.90/9,627.76
  6. Step 6: Final answer
    x = 9,599.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.