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Finding the Fourth Proportional to 9,640.51, 13,295.82 and 7,647.91

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Solution

The fourth proportional to 9,640.51, 13,295.82 and 7,647.91 is: 10,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.51 : 13,295.82 = 7,647.91 : x
  2. Step 2: Convert to fraction form
    9,640.51/13,295.82 = 7,647.91/x
  3. Step 3: Cross multiply
    9,640.51x = 13,295.82 × 7,647.91
  4. Step 4: Simplify right side
    9,640.51x = 101,685,234.74
  5. Step 5: Solve for x
    x = 101,685,234.74/9,640.51
  6. Step 6: Final answer
    x = 10,547.70

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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.