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Finding the Fourth Proportional to 7,109.24, 9,811.20 and 4,715

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Solution

The fourth proportional to 7,109.24, 9,811.20 and 4,715 is: 6,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.24 : 9,811.20 = 4,715 : x
  2. Step 2: Convert to fraction form
    7,109.24/9,811.20 = 4,715/x
  3. Step 3: Cross multiply
    7,109.24x = 9,811.20 × 4,715
  4. Step 4: Simplify right side
    7,109.24x = 46,259,808
  5. Step 5: Solve for x
    x = 46,259,808/7,109.24
  6. Step 6: Final answer
    x = 6,507.00

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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.