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Finding the Fourth Proportional to 9,410.51, 14,118.10 and 6,642.61

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Solution

The fourth proportional to 9,410.51, 14,118.10 and 6,642.61 is: 9,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.51 : 14,118.10 = 6,642.61 : x
  2. Step 2: Convert to fraction form
    9,410.51/14,118.10 = 6,642.61/x
  3. Step 3: Cross multiply
    9,410.51x = 14,118.10 × 6,642.61
  4. Step 4: Simplify right side
    9,410.51x = 93,780,980.34
  5. Step 5: Solve for x
    x = 93,780,980.34/9,410.51
  6. Step 6: Final answer
    x = 9,965.56

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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.