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Finding the Fourth Proportional to 7,109.98, 9,811.47 and 4,125.58

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Solution

The fourth proportional to 7,109.98, 9,811.47 and 4,125.58 is: 5,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.98 : 9,811.47 = 4,125.58 : x
  2. Step 2: Convert to fraction form
    7,109.98/9,811.47 = 4,125.58/x
  3. Step 3: Cross multiply
    7,109.98x = 9,811.47 × 4,125.58
  4. Step 4: Simplify right side
    7,109.98x = 40,478,004.40
  5. Step 5: Solve for x
    x = 40,478,004.40/7,109.98
  6. Step 6: Final answer
    x = 5,693.12

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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.