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Finding the Fourth Proportional to 9,152.55, 13,723.65 and 6,034.32

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Solution

The fourth proportional to 9,152.55, 13,723.65 and 6,034.32 is: 9,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.55 : 13,723.65 = 6,034.32 : x
  2. Step 2: Convert to fraction form
    9,152.55/13,723.65 = 6,034.32/x
  3. Step 3: Cross multiply
    9,152.55x = 13,723.65 × 6,034.32
  4. Step 4: Simplify right side
    9,152.55x = 82,812,895.67
  5. Step 5: Solve for x
    x = 82,812,895.67/9,152.55
  6. Step 6: Final answer
    x = 9,048.07

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Why These Related Problems?

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