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Finding the Fourth Proportional to 9,819.84, 13,547.76 and 6,464.58

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Solution

The fourth proportional to 9,819.84, 13,547.76 and 6,464.58 is: 8,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.84 : 13,547.76 = 6,464.58 : x
  2. Step 2: Convert to fraction form
    9,819.84/13,547.76 = 6,464.58/x
  3. Step 3: Cross multiply
    9,819.84x = 13,547.76 × 6,464.58
  4. Step 4: Simplify right side
    9,819.84x = 87,580,578.34
  5. Step 5: Solve for x
    x = 87,580,578.34/9,819.84
  6. Step 6: Final answer
    x = 8,918.74

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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.