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Finding the Fourth Proportional to 9,677.33, 14,506.42 and 4,670.46

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Solution

The fourth proportional to 9,677.33, 14,506.42 and 4,670.46 is: 7,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.33 : 14,506.42 = 4,670.46 : x
  2. Step 2: Convert to fraction form
    9,677.33/14,506.42 = 4,670.46/x
  3. Step 3: Cross multiply
    9,677.33x = 14,506.42 × 4,670.46
  4. Step 4: Simplify right side
    9,677.33x = 67,751,642.68
  5. Step 5: Solve for x
    x = 67,751,642.68/9,677.33
  6. Step 6: Final answer
    x = 7,001.07

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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.