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Finding the Fourth Proportional to 9,078.36, 12,527.82 and 5,547.48

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Solution

The fourth proportional to 9,078.36, 12,527.82 and 5,547.48 is: 7,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.36 : 12,527.82 = 5,547.48 : x
  2. Step 2: Convert to fraction form
    9,078.36/12,527.82 = 5,547.48/x
  3. Step 3: Cross multiply
    9,078.36x = 12,527.82 × 5,547.48
  4. Step 4: Simplify right side
    9,078.36x = 69,497,830.89
  5. Step 5: Solve for x
    x = 69,497,830.89/9,078.36
  6. Step 6: Final answer
    x = 7,655.33

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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.