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Finding the Fourth Proportional to 9,980.53, 14,967.46 and 3,315.76

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Solution

The fourth proportional to 9,980.53, 14,967.46 and 3,315.76 is: 4,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.53 : 14,967.46 = 3,315.76 : x
  2. Step 2: Convert to fraction form
    9,980.53/14,967.46 = 3,315.76/x
  3. Step 3: Cross multiply
    9,980.53x = 14,967.46 × 3,315.76
  4. Step 4: Simplify right side
    9,980.53x = 49,628,505.17
  5. Step 5: Solve for x
    x = 49,628,505.17/9,980.53
  6. Step 6: Final answer
    x = 4,972.53

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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.