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Finding the Fourth Proportional to 9,409.23, 12,987.27 and 5,870.34

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Solution

The fourth proportional to 9,409.23, 12,987.27 and 5,870.34 is: 8,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.23 : 12,987.27 = 5,870.34 : x
  2. Step 2: Convert to fraction form
    9,409.23/12,987.27 = 5,870.34/x
  3. Step 3: Cross multiply
    9,409.23x = 12,987.27 × 5,870.34
  4. Step 4: Simplify right side
    9,409.23x = 76,239,690.57
  5. Step 5: Solve for x
    x = 76,239,690.57/9,409.23
  6. Step 6: Final answer
    x = 8,102.65

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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.