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Finding the Fourth Proportional to 9,678.63, 13,357.53 and 5,699.66

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Solution

The fourth proportional to 9,678.63, 13,357.53 and 5,699.66 is: 7,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.63 : 13,357.53 = 5,699.66 : x
  2. Step 2: Convert to fraction form
    9,678.63/13,357.53 = 5,699.66/x
  3. Step 3: Cross multiply
    9,678.63x = 13,357.53 × 5,699.66
  4. Step 4: Simplify right side
    9,678.63x = 76,133,346.05
  5. Step 5: Solve for x
    x = 76,133,346.05/9,678.63
  6. Step 6: Final answer
    x = 7,866.13

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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.