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Finding the Fourth Proportional to 9,095.64, 13,642.82 and 3,547.94

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Solution

The fourth proportional to 9,095.64, 13,642.82 and 3,547.94 is: 5,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.64 : 13,642.82 = 3,547.94 : x
  2. Step 2: Convert to fraction form
    9,095.64/13,642.82 = 3,547.94/x
  3. Step 3: Cross multiply
    9,095.64x = 13,642.82 × 3,547.94
  4. Step 4: Simplify right side
    9,095.64x = 48,403,906.79
  5. Step 5: Solve for x
    x = 48,403,906.79/9,095.64
  6. Step 6: Final answer
    x = 5,321.66

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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.