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Finding the Fourth Proportional to 9,819.59, 13,547.41 and 6,464.33

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Solution

The fourth proportional to 9,819.59, 13,547.41 and 6,464.33 is: 8,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.59 : 13,547.41 = 6,464.33 : x
  2. Step 2: Convert to fraction form
    9,819.59/13,547.41 = 6,464.33/x
  3. Step 3: Cross multiply
    9,819.59x = 13,547.41 × 6,464.33
  4. Step 4: Simplify right side
    9,819.59x = 87,574,928.89
  5. Step 5: Solve for x
    x = 87,574,928.89/9,819.59
  6. Step 6: Final answer
    x = 8,918.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.