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Finding the Fourth Proportional to 6,291.95, 9,437.95 and 1,909.45

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Solution

The fourth proportional to 6,291.95, 9,437.95 and 1,909.45 is: 2,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.95 : 9,437.95 = 1,909.45 : x
  2. Step 2: Convert to fraction form
    6,291.95/9,437.95 = 1,909.45/x
  3. Step 3: Cross multiply
    6,291.95x = 9,437.95 × 1,909.45
  4. Step 4: Simplify right side
    6,291.95x = 18,021,293.63
  5. Step 5: Solve for x
    x = 18,021,293.63/6,291.95
  6. Step 6: Final answer
    x = 2,864.18

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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.