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Finding the Fourth Proportional to 6,547.46, 9,819.77 and 3,037.32

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Solution

The fourth proportional to 6,547.46, 9,819.77 and 3,037.32 is: 4,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.46 : 9,819.77 = 3,037.32 : x
  2. Step 2: Convert to fraction form
    6,547.46/9,819.77 = 3,037.32/x
  3. Step 3: Cross multiply
    6,547.46x = 9,819.77 × 3,037.32
  4. Step 4: Simplify right side
    6,547.46x = 29,825,768.63
  5. Step 5: Solve for x
    x = 29,825,768.63/6,547.46
  6. Step 6: Final answer
    x = 4,555.32

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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.