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Finding the Fourth Proportional to 7,090.86, 9,784.04 and 4,106.46

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Solution

The fourth proportional to 7,090.86, 9,784.04 and 4,106.46 is: 5,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.86 : 9,784.04 = 4,106.46 : x
  2. Step 2: Convert to fraction form
    7,090.86/9,784.04 = 4,106.46/x
  3. Step 3: Cross multiply
    7,090.86x = 9,784.04 × 4,106.46
  4. Step 4: Simplify right side
    7,090.86x = 40,177,768.90
  5. Step 5: Solve for x
    x = 40,177,768.90/7,090.86
  6. Step 6: Final answer
    x = 5,666.13

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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.