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Finding the Fourth Proportional to 6,547.73, 9,041.32 and 6,072.86

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Solution

The fourth proportional to 6,547.73, 9,041.32 and 6,072.86 is: 8,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.73 : 9,041.32 = 6,072.86 : x
  2. Step 2: Convert to fraction form
    6,547.73/9,041.32 = 6,072.86/x
  3. Step 3: Cross multiply
    6,547.73x = 9,041.32 × 6,072.86
  4. Step 4: Simplify right side
    6,547.73x = 54,906,670.58
  5. Step 5: Solve for x
    x = 54,906,670.58/6,547.73
  6. Step 6: Final answer
    x = 8,385.60

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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.