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Finding the Fourth Proportional to 9,677.16, 13,354.92 and 5,698.44

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Solution

The fourth proportional to 9,677.16, 13,354.92 and 5,698.44 is: 7,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.16 : 13,354.92 = 5,698.44 : x
  2. Step 2: Convert to fraction form
    9,677.16/13,354.92 = 5,698.44/x
  3. Step 3: Cross multiply
    9,677.16x = 13,354.92 × 5,698.44
  4. Step 4: Simplify right side
    9,677.16x = 76,102,210.32
  5. Step 5: Solve for x
    x = 76,102,210.32/9,677.16
  6. Step 6: Final answer
    x = 7,864.11

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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.