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Finding the Fourth Proportional to 9,326.66, 13,985.88 and 4,943.09

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Solution

The fourth proportional to 9,326.66, 13,985.88 and 4,943.09 is: 7,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.66 : 13,985.88 = 4,943.09 : x
  2. Step 2: Convert to fraction form
    9,326.66/13,985.88 = 4,943.09/x
  3. Step 3: Cross multiply
    9,326.66x = 13,985.88 × 4,943.09
  4. Step 4: Simplify right side
    9,326.66x = 69,133,368.92
  5. Step 5: Solve for x
    x = 69,133,368.92/9,326.66
  6. Step 6: Final answer
    x = 7,412.45

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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.