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Finding the Fourth Proportional to 9,405.30, 14,090.65 and 5,894.65

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Solution

The fourth proportional to 9,405.30, 14,090.65 and 5,894.65 is: 8,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.30 : 14,090.65 = 5,894.65 : x
  2. Step 2: Convert to fraction form
    9,405.30/14,090.65 = 5,894.65/x
  3. Step 3: Cross multiply
    9,405.30x = 14,090.65 × 5,894.65
  4. Step 4: Simplify right side
    9,405.30x = 83,059,450.02
  5. Step 5: Solve for x
    x = 83,059,450.02/9,405.30
  6. Step 6: Final answer
    x = 8,831.13

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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.