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Finding the Fourth Proportional to 9,093.66, 12,547.35 and 5,114.94

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Solution

The fourth proportional to 9,093.66, 12,547.35 and 5,114.94 is: 7,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.66 : 12,547.35 = 5,114.94 : x
  2. Step 2: Convert to fraction form
    9,093.66/12,547.35 = 5,114.94/x
  3. Step 3: Cross multiply
    9,093.66x = 12,547.35 × 5,114.94
  4. Step 4: Simplify right side
    9,093.66x = 64,178,942.41
  5. Step 5: Solve for x
    x = 64,178,942.41/9,093.66
  6. Step 6: Final answer
    x = 7,057.55

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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.