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Finding the Fourth Proportional to 9,756.34, 14,637.80 and 3,093.93

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Solution

The fourth proportional to 9,756.34, 14,637.80 and 3,093.93 is: 4,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.34 : 14,637.80 = 3,093.93 : x
  2. Step 2: Convert to fraction form
    9,756.34/14,637.80 = 3,093.93/x
  3. Step 3: Cross multiply
    9,756.34x = 14,637.80 × 3,093.93
  4. Step 4: Simplify right side
    9,756.34x = 45,288,239.90
  5. Step 5: Solve for x
    x = 45,288,239.90/9,756.34
  6. Step 6: Final answer
    x = 4,641.93

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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.