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Finding the Fourth Proportional to 9,218.04, 13,833 and 4,290

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Solution

The fourth proportional to 9,218.04, 13,833 and 4,290 is: 6,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.04 : 13,833 = 4,290 : x
  2. Step 2: Convert to fraction form
    9,218.04/13,833 = 4,290/x
  3. Step 3: Cross multiply
    9,218.04x = 13,833 × 4,290
  4. Step 4: Simplify right side
    9,218.04x = 59,343,570
  5. Step 5: Solve for x
    x = 59,343,570/9,218.04
  6. Step 6: Final answer
    x = 6,437.76

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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.