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Finding the Fourth Proportional to 6,202.40, 9,303.59 and 4,009.93

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Solution

The fourth proportional to 6,202.40, 9,303.59 and 4,009.93 is: 6,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.40 : 9,303.59 = 4,009.93 : x
  2. Step 2: Convert to fraction form
    6,202.40/9,303.59 = 4,009.93/x
  3. Step 3: Cross multiply
    6,202.40x = 9,303.59 × 4,009.93
  4. Step 4: Simplify right side
    6,202.40x = 37,306,731.41
  5. Step 5: Solve for x
    x = 37,306,731.41/6,202.40
  6. Step 6: Final answer
    x = 6,014.89

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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.