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Finding the Fourth Proportional to 9,678.96, 13,352.04 and 5,699.88

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Solution

The fourth proportional to 9,678.96, 13,352.04 and 5,699.88 is: 7,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.96 : 13,352.04 = 5,699.88 : x
  2. Step 2: Convert to fraction form
    9,678.96/13,352.04 = 5,699.88/x
  3. Step 3: Cross multiply
    9,678.96x = 13,352.04 × 5,699.88
  4. Step 4: Simplify right side
    9,678.96x = 76,105,025.76
  5. Step 5: Solve for x
    x = 76,105,025.76/9,678.96
  6. Step 6: Final answer
    x = 7,862.93

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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.