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Finding the Fourth Proportional to 7,109.87, 9,812.07 and 4,715.64

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Solution

The fourth proportional to 7,109.87, 9,812.07 and 4,715.64 is: 6,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.87 : 9,812.07 = 4,715.64 : x
  2. Step 2: Convert to fraction form
    7,109.87/9,812.07 = 4,715.64/x
  3. Step 3: Cross multiply
    7,109.87x = 9,812.07 × 4,715.64
  4. Step 4: Simplify right side
    7,109.87x = 46,270,189.77
  5. Step 5: Solve for x
    x = 46,270,189.77/7,109.87
  6. Step 6: Final answer
    x = 6,507.89

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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.