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Finding the Fourth Proportional to 9,820.10, 13,548.93 and 6,280.40

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Solution

The fourth proportional to 9,820.10, 13,548.93 and 6,280.40 is: 8,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.10 : 13,548.93 = 6,280.40 : x
  2. Step 2: Convert to fraction form
    9,820.10/13,548.93 = 6,280.40/x
  3. Step 3: Cross multiply
    9,820.10x = 13,548.93 × 6,280.40
  4. Step 4: Simplify right side
    9,820.10x = 85,092,699.97
  5. Step 5: Solve for x
    x = 85,092,699.97/9,820.10
  6. Step 6: Final answer
    x = 8,665.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.