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Finding the Fourth Proportional to 9,438.24, 14,159.06 and 7,698.66

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Solution

The fourth proportional to 9,438.24, 14,159.06 and 7,698.66 is: 11,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.24 : 14,159.06 = 7,698.66 : x
  2. Step 2: Convert to fraction form
    9,438.24/14,159.06 = 7,698.66/x
  3. Step 3: Cross multiply
    9,438.24x = 14,159.06 × 7,698.66
  4. Step 4: Simplify right side
    9,438.24x = 109,005,788.86
  5. Step 5: Solve for x
    x = 109,005,788.86/9,438.24
  6. Step 6: Final answer
    x = 11,549.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.