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Finding the Fourth Proportional to 9,876.40, 13,624.32 and 6,689.84

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Solution

The fourth proportional to 9,876.40, 13,624.32 and 6,689.84 is: 9,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.40 : 13,624.32 = 6,689.84 : x
  2. Step 2: Convert to fraction form
    9,876.40/13,624.32 = 6,689.84/x
  3. Step 3: Cross multiply
    9,876.40x = 13,624.32 × 6,689.84
  4. Step 4: Simplify right side
    9,876.40x = 91,144,520.91
  5. Step 5: Solve for x
    x = 91,144,520.91/9,876.40
  6. Step 6: Final answer
    x = 9,228.52

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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.