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Finding the Fourth Proportional to 9,474.51, 14,186.90 and 6,686.07

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Solution

The fourth proportional to 9,474.51, 14,186.90 and 6,686.07 is: 10,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.51 : 14,186.90 = 6,686.07 : x
  2. Step 2: Convert to fraction form
    9,474.51/14,186.90 = 6,686.07/x
  3. Step 3: Cross multiply
    9,474.51x = 14,186.90 × 6,686.07
  4. Step 4: Simplify right side
    9,474.51x = 94,854,518.83
  5. Step 5: Solve for x
    x = 94,854,518.83/9,474.51
  6. Step 6: Final answer
    x = 10,011.55

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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.