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Finding the Fourth Proportional to 9,294.64, 13,875.11 and 7,964.06

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Solution

The fourth proportional to 9,294.64, 13,875.11 and 7,964.06 is: 11,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.64 : 13,875.11 = 7,964.06 : x
  2. Step 2: Convert to fraction form
    9,294.64/13,875.11 = 7,964.06/x
  3. Step 3: Cross multiply
    9,294.64x = 13,875.11 × 7,964.06
  4. Step 4: Simplify right side
    9,294.64x = 110,502,203.41
  5. Step 5: Solve for x
    x = 110,502,203.41/9,294.64
  6. Step 6: Final answer
    x = 11,888.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.