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Finding the Fourth Proportional to 9,157.76, 13,718.32 and 4,220.64

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Solution

The fourth proportional to 9,157.76, 13,718.32 and 4,220.64 is: 6,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.76 : 13,718.32 = 4,220.64 : x
  2. Step 2: Convert to fraction form
    9,157.76/13,718.32 = 4,220.64/x
  3. Step 3: Cross multiply
    9,157.76x = 13,718.32 × 4,220.64
  4. Step 4: Simplify right side
    9,157.76x = 57,900,090.12
  5. Step 5: Solve for x
    x = 57,900,090.12/9,157.76
  6. Step 6: Final answer
    x = 6,322.52

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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.