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Finding the Fourth Proportional to 9,294.57, 13,943.57 and 3,054.93

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Solution

The fourth proportional to 9,294.57, 13,943.57 and 3,054.93 is: 4,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.57 : 13,943.57 = 3,054.93 : x
  2. Step 2: Convert to fraction form
    9,294.57/13,943.57 = 3,054.93/x
  3. Step 3: Cross multiply
    9,294.57x = 13,943.57 × 3,054.93
  4. Step 4: Simplify right side
    9,294.57x = 42,596,615.03
  5. Step 5: Solve for x
    x = 42,596,615.03/9,294.57
  6. Step 6: Final answer
    x = 4,582.96

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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.