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Finding the Fourth Proportional to 9,718.90, 14,580.47 and 3,144.99

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Solution

The fourth proportional to 9,718.90, 14,580.47 and 3,144.99 is: 4,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.90 : 14,580.47 = 3,144.99 : x
  2. Step 2: Convert to fraction form
    9,718.90/14,580.47 = 3,144.99/x
  3. Step 3: Cross multiply
    9,718.90x = 14,580.47 × 3,144.99
  4. Step 4: Simplify right side
    9,718.90x = 45,855,432.35
  5. Step 5: Solve for x
    x = 45,855,432.35/9,718.90
  6. Step 6: Final answer
    x = 4,718.17

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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.