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Finding the Fourth Proportional to 9,210.84, 13,820.34 and 4,827.24

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Solution

The fourth proportional to 9,210.84, 13,820.34 and 4,827.24 is: 7,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.84 : 13,820.34 = 4,827.24 : x
  2. Step 2: Convert to fraction form
    9,210.84/13,820.34 = 4,827.24/x
  3. Step 3: Cross multiply
    9,210.84x = 13,820.34 × 4,827.24
  4. Step 4: Simplify right side
    9,210.84x = 66,714,098.06
  5. Step 5: Solve for x
    x = 66,714,098.06/9,210.84
  6. Step 6: Final answer
    x = 7,243.00

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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.