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Finding the Fourth Proportional to 9,484.12, 13,080.90 and 5,707

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Solution

The fourth proportional to 9,484.12, 13,080.90 and 5,707 is: 7,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.12 : 13,080.90 = 5,707 : x
  2. Step 2: Convert to fraction form
    9,484.12/13,080.90 = 5,707/x
  3. Step 3: Cross multiply
    9,484.12x = 13,080.90 × 5,707
  4. Step 4: Simplify right side
    9,484.12x = 74,652,696.30
  5. Step 5: Solve for x
    x = 74,652,696.30/9,484.12
  6. Step 6: Final answer
    x = 7,871.34

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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.