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Finding the Fourth Proportional to 9,810.51, 13,539.74 and 6,272.43

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Solution

The fourth proportional to 9,810.51, 13,539.74 and 6,272.43 is: 8,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.51 : 13,539.74 = 6,272.43 : x
  2. Step 2: Convert to fraction form
    9,810.51/13,539.74 = 6,272.43/x
  3. Step 3: Cross multiply
    9,810.51x = 13,539.74 × 6,272.43
  4. Step 4: Simplify right side
    9,810.51x = 84,927,040.01
  5. Step 5: Solve for x
    x = 84,927,040.01/9,810.51
  6. Step 6: Final answer
    x = 8,656.74

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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.