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Finding the Fourth Proportional to 9,730.65, 13,428.44 and 5,696.55

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Solution

The fourth proportional to 9,730.65, 13,428.44 and 5,696.55 is: 7,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.65 : 13,428.44 = 5,696.55 : x
  2. Step 2: Convert to fraction form
    9,730.65/13,428.44 = 5,696.55/x
  3. Step 3: Cross multiply
    9,730.65x = 13,428.44 × 5,696.55
  4. Step 4: Simplify right side
    9,730.65x = 76,495,779.88
  5. Step 5: Solve for x
    x = 76,495,779.88/9,730.65
  6. Step 6: Final answer
    x = 7,861.32

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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.