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Finding the Fourth Proportional to 9,810.08, 13,534.80 and 6,086.24

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Solution

The fourth proportional to 9,810.08, 13,534.80 and 6,086.24 is: 8,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.08 : 13,534.80 = 6,086.24 : x
  2. Step 2: Convert to fraction form
    9,810.08/13,534.80 = 6,086.24/x
  3. Step 3: Cross multiply
    9,810.08x = 13,534.80 × 6,086.24
  4. Step 4: Simplify right side
    9,810.08x = 82,376,041.15
  5. Step 5: Solve for x
    x = 82,376,041.15/9,810.08
  6. Step 6: Final answer
    x = 8,397.08

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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.