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Finding the Fourth Proportional to 9,680.16, 14,525.84 and 4,485.76

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Solution

The fourth proportional to 9,680.16, 14,525.84 and 4,485.76 is: 6,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.16 : 14,525.84 = 4,485.76 : x
  2. Step 2: Convert to fraction form
    9,680.16/14,525.84 = 4,485.76/x
  3. Step 3: Cross multiply
    9,680.16x = 14,525.84 × 4,485.76
  4. Step 4: Simplify right side
    9,680.16x = 65,159,432.04
  5. Step 5: Solve for x
    x = 65,159,432.04/9,680.16
  6. Step 6: Final answer
    x = 6,731.24

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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.