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Finding the Fourth Proportional to 9,879.36, 13,633.12 and 5,688.32

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Solution

The fourth proportional to 9,879.36, 13,633.12 and 5,688.32 is: 7,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.36 : 13,633.12 = 5,688.32 : x
  2. Step 2: Convert to fraction form
    9,879.36/13,633.12 = 5,688.32/x
  3. Step 3: Cross multiply
    9,879.36x = 13,633.12 × 5,688.32
  4. Step 4: Simplify right side
    9,879.36x = 77,549,549.16
  5. Step 5: Solve for x
    x = 77,549,549.16/9,879.36
  6. Step 6: Final answer
    x = 7,849.65

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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.