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Finding the Fourth Proportional to 9,758.61, 14,637.97 and 2,363.06

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Solution

The fourth proportional to 9,758.61, 14,637.97 and 2,363.06 is: 3,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.61 : 14,637.97 = 2,363.06 : x
  2. Step 2: Convert to fraction form
    9,758.61/14,637.97 = 2,363.06/x
  3. Step 3: Cross multiply
    9,758.61x = 14,637.97 × 2,363.06
  4. Step 4: Simplify right side
    9,758.61x = 34,590,407.06
  5. Step 5: Solve for x
    x = 34,590,407.06/9,758.61
  6. Step 6: Final answer
    x = 3,544.60

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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.