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Finding the Fourth Proportional to 9,033.47, 13,547.47 and 2,458.81

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Solution

The fourth proportional to 9,033.47, 13,547.47 and 2,458.81 is: 3,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.47 : 13,547.47 = 2,458.81 : x
  2. Step 2: Convert to fraction form
    9,033.47/13,547.47 = 2,458.81/x
  3. Step 3: Cross multiply
    9,033.47x = 13,547.47 × 2,458.81
  4. Step 4: Simplify right side
    9,033.47x = 33,310,654.71
  5. Step 5: Solve for x
    x = 33,310,654.71/9,033.47
  6. Step 6: Final answer
    x = 3,687.47

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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.