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Finding the Fourth Proportional to 9,832.80, 14,756.63 and 6,705.39

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Solution

The fourth proportional to 9,832.80, 14,756.63 and 6,705.39 is: 10,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.80 : 14,756.63 = 6,705.39 : x
  2. Step 2: Convert to fraction form
    9,832.80/14,756.63 = 6,705.39/x
  3. Step 3: Cross multiply
    9,832.80x = 14,756.63 × 6,705.39
  4. Step 4: Simplify right side
    9,832.80x = 98,948,925.71
  5. Step 5: Solve for x
    x = 98,948,925.71/9,832.80
  6. Step 6: Final answer
    x = 10,063.15

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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.