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Finding the Fourth Proportional to 9,854.96, 14,782.40 and 2,929.46

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Solution

The fourth proportional to 9,854.96, 14,782.40 and 2,929.46 is: 4,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.96 : 14,782.40 = 2,929.46 : x
  2. Step 2: Convert to fraction form
    9,854.96/14,782.40 = 2,929.46/x
  3. Step 3: Cross multiply
    9,854.96x = 14,782.40 × 2,929.46
  4. Step 4: Simplify right side
    9,854.96x = 43,304,360.94
  5. Step 5: Solve for x
    x = 43,304,360.94/9,854.96
  6. Step 6: Final answer
    x = 4,394.17

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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.