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Finding the Fourth Proportional to 9,718.30, 14,577.91 and 3,145

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Solution

The fourth proportional to 9,718.30, 14,577.91 and 3,145 is: 4,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.30 : 14,577.91 = 3,145 : x
  2. Step 2: Convert to fraction form
    9,718.30/14,577.91 = 3,145/x
  3. Step 3: Cross multiply
    9,718.30x = 14,577.91 × 3,145
  4. Step 4: Simplify right side
    9,718.30x = 45,847,526.95
  5. Step 5: Solve for x
    x = 45,847,526.95/9,718.30
  6. Step 6: Final answer
    x = 4,717.65

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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.