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Finding the Fourth Proportional to 6,547.32, 9,817.74 and 2,386.44

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Solution

The fourth proportional to 6,547.32, 9,817.74 and 2,386.44 is: 3,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.32 : 9,817.74 = 2,386.44 : x
  2. Step 2: Convert to fraction form
    6,547.32/9,817.74 = 2,386.44/x
  3. Step 3: Cross multiply
    6,547.32x = 9,817.74 × 2,386.44
  4. Step 4: Simplify right side
    6,547.32x = 23,429,447.45
  5. Step 5: Solve for x
    x = 23,429,447.45/6,547.32
  6. Step 6: Final answer
    x = 3,578.48

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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.