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Finding the Fourth Proportional to 9,980.47, 13,730.60 and 9,703.67

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Solution

The fourth proportional to 9,980.47, 13,730.60 and 9,703.67 is: 13,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.47 : 13,730.60 = 9,703.67 : x
  2. Step 2: Convert to fraction form
    9,980.47/13,730.60 = 9,703.67/x
  3. Step 3: Cross multiply
    9,980.47x = 13,730.60 × 9,703.67
  4. Step 4: Simplify right side
    9,980.47x = 133,237,269.11
  5. Step 5: Solve for x
    x = 133,237,269.11/9,980.47
  6. Step 6: Final answer
    x = 13,349.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.