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Finding the Fourth Proportional to 7,106.90, 9,809.97 and 4,275.86

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Solution

The fourth proportional to 7,106.90, 9,809.97 and 4,275.86 is: 5,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.90 : 9,809.97 = 4,275.86 : x
  2. Step 2: Convert to fraction form
    7,106.90/9,809.97 = 4,275.86/x
  3. Step 3: Cross multiply
    7,106.90x = 9,809.97 × 4,275.86
  4. Step 4: Simplify right side
    7,106.90x = 41,946,058.32
  5. Step 5: Solve for x
    x = 41,946,058.32/7,106.90
  6. Step 6: Final answer
    x = 5,902.16

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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.