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Finding the Fourth Proportional to 7,095.65, 9,792.00 and 4,113.22

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Solution

The fourth proportional to 7,095.65, 9,792.00 and 4,113.22 is: 5,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.65 : 9,792.00 = 4,113.22 : x
  2. Step 2: Convert to fraction form
    7,095.65/9,792.00 = 4,113.22/x
  3. Step 3: Cross multiply
    7,095.65x = 9,792.00 × 4,113.22
  4. Step 4: Simplify right side
    7,095.65x = 40,276,580.71
  5. Step 5: Solve for x
    x = 40,276,580.71/7,095.65
  6. Step 6: Final answer
    x = 5,676.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.