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Finding the Fourth Proportional to 9,678.60, 13,360.08 and 5,699.88

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Solution

The fourth proportional to 9,678.60, 13,360.08 and 5,699.88 is: 7,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.60 : 13,360.08 = 5,699.88 : x
  2. Step 2: Convert to fraction form
    9,678.60/13,360.08 = 5,699.88/x
  3. Step 3: Cross multiply
    9,678.60x = 13,360.08 × 5,699.88
  4. Step 4: Simplify right side
    9,678.60x = 76,150,852.79
  5. Step 5: Solve for x
    x = 76,150,852.79/9,678.60
  6. Step 6: Final answer
    x = 7,867.96

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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.