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Finding the Fourth Proportional to 9,094.68, 13,613.76 and 5,810.40

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Solution

The fourth proportional to 9,094.68, 13,613.76 and 5,810.40 is: 8,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.68 : 13,613.76 = 5,810.40 : x
  2. Step 2: Convert to fraction form
    9,094.68/13,613.76 = 5,810.40/x
  3. Step 3: Cross multiply
    9,094.68x = 13,613.76 × 5,810.40
  4. Step 4: Simplify right side
    9,094.68x = 79,101,391.10
  5. Step 5: Solve for x
    x = 79,101,391.10/9,094.68
  6. Step 6: Final answer
    x = 8,697.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.