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Finding the Fourth Proportional to 9,326.70, 13,985.95 and 4,943.15

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Solution

The fourth proportional to 9,326.70, 13,985.95 and 4,943.15 is: 7,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.70 : 13,985.95 = 4,943.15 : x
  2. Step 2: Convert to fraction form
    9,326.70/13,985.95 = 4,943.15/x
  3. Step 3: Cross multiply
    9,326.70x = 13,985.95 × 4,943.15
  4. Step 4: Simplify right side
    9,326.70x = 69,134,648.74
  5. Step 5: Solve for x
    x = 69,134,648.74/9,326.70
  6. Step 6: Final answer
    x = 7,412.55

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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.