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Finding the Fourth Proportional to 9,210.80, 13,820.32 and 4,827.24

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Solution

The fourth proportional to 9,210.80, 13,820.32 and 4,827.24 is: 7,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.80 : 13,820.32 = 4,827.24 : x
  2. Step 2: Convert to fraction form
    9,210.80/13,820.32 = 4,827.24/x
  3. Step 3: Cross multiply
    9,210.80x = 13,820.32 × 4,827.24
  4. Step 4: Simplify right side
    9,210.80x = 66,714,001.52
  5. Step 5: Solve for x
    x = 66,714,001.52/9,210.80
  6. Step 6: Final answer
    x = 7,243.02

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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.