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Finding the Fourth Proportional to 9,980.30, 14,970.89 and 3,317.02

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Solution

The fourth proportional to 9,980.30, 14,970.89 and 3,317.02 is: 4,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.30 : 14,970.89 = 3,317.02 : x
  2. Step 2: Convert to fraction form
    9,980.30/14,970.89 = 3,317.02/x
  3. Step 3: Cross multiply
    9,980.30x = 14,970.89 × 3,317.02
  4. Step 4: Simplify right side
    9,980.30x = 49,658,741.55
  5. Step 5: Solve for x
    x = 49,658,741.55/9,980.30
  6. Step 6: Final answer
    x = 4,975.68

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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.