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Finding the Fourth Proportional to 9,547.38, 14,327.55 and 4,933.62

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Solution

The fourth proportional to 9,547.38, 14,327.55 and 4,933.62 is: 7,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.38 : 14,327.55 = 4,933.62 : x
  2. Step 2: Convert to fraction form
    9,547.38/14,327.55 = 4,933.62/x
  3. Step 3: Cross multiply
    9,547.38x = 14,327.55 × 4,933.62
  4. Step 4: Simplify right side
    9,547.38x = 70,686,687.23
  5. Step 5: Solve for x
    x = 70,686,687.23/9,547.38
  6. Step 6: Final answer
    x = 7,403.78

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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.