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Finding the Fourth Proportional to 9,767.68, 14,665.80 and 6,445.84

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Solution

The fourth proportional to 9,767.68, 14,665.80 and 6,445.84 is: 9,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.68 : 14,665.80 = 6,445.84 : x
  2. Step 2: Convert to fraction form
    9,767.68/14,665.80 = 6,445.84/x
  3. Step 3: Cross multiply
    9,767.68x = 14,665.80 × 6,445.84
  4. Step 4: Simplify right side
    9,767.68x = 94,533,400.27
  5. Step 5: Solve for x
    x = 94,533,400.27/9,767.68
  6. Step 6: Final answer
    x = 9,678.18

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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.