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Finding the Fourth Proportional to 9,849.32, 14,759.40 and 8,106.72

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Solution

The fourth proportional to 9,849.32, 14,759.40 and 8,106.72 is: 12,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.32 : 14,759.40 = 8,106.72 : x
  2. Step 2: Convert to fraction form
    9,849.32/14,759.40 = 8,106.72/x
  3. Step 3: Cross multiply
    9,849.32x = 14,759.40 × 8,106.72
  4. Step 4: Simplify right side
    9,849.32x = 119,650,323.17
  5. Step 5: Solve for x
    x = 119,650,323.17/9,849.32
  6. Step 6: Final answer
    x = 12,148.08

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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.