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Finding the Fourth Proportional to 9,657.08, 14,480.72 and 4,719.32

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Solution

The fourth proportional to 9,657.08, 14,480.72 and 4,719.32 is: 7,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.08 : 14,480.72 = 4,719.32 : x
  2. Step 2: Convert to fraction form
    9,657.08/14,480.72 = 4,719.32/x
  3. Step 3: Cross multiply
    9,657.08x = 14,480.72 × 4,719.32
  4. Step 4: Simplify right side
    9,657.08x = 68,339,151.51
  5. Step 5: Solve for x
    x = 68,339,151.51/9,657.08
  6. Step 6: Final answer
    x = 7,076.59

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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.