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Finding the Fourth Proportional to 9,671.65, 13,352.70 and 6,320.07

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Solution

The fourth proportional to 9,671.65, 13,352.70 and 6,320.07 is: 8,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.65 : 13,352.70 = 6,320.07 : x
  2. Step 2: Convert to fraction form
    9,671.65/13,352.70 = 6,320.07/x
  3. Step 3: Cross multiply
    9,671.65x = 13,352.70 × 6,320.07
  4. Step 4: Simplify right side
    9,671.65x = 84,390,042.17
  5. Step 5: Solve for x
    x = 84,390,042.17/9,671.65
  6. Step 6: Final answer
    x = 8,725.51

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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.