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Finding the Fourth Proportional to 9,758.17, 14,637.77 and 3,095.19

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Solution

The fourth proportional to 9,758.17, 14,637.77 and 3,095.19 is: 4,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.17 : 14,637.77 = 3,095.19 : x
  2. Step 2: Convert to fraction form
    9,758.17/14,637.77 = 3,095.19/x
  3. Step 3: Cross multiply
    9,758.17x = 14,637.77 × 3,095.19
  4. Step 4: Simplify right side
    9,758.17x = 45,306,663.85
  5. Step 5: Solve for x
    x = 45,306,663.85/9,758.17
  6. Step 6: Final answer
    x = 4,642.95

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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.