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Finding the Fourth Proportional to 9,095.14, 12,547.74 and 5,115.34

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Solution

The fourth proportional to 9,095.14, 12,547.74 and 5,115.34 is: 7,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.14 : 12,547.74 = 5,115.34 : x
  2. Step 2: Convert to fraction form
    9,095.14/12,547.74 = 5,115.34/x
  3. Step 3: Cross multiply
    9,095.14x = 12,547.74 × 5,115.34
  4. Step 4: Simplify right side
    9,095.14x = 64,185,956.33
  5. Step 5: Solve for x
    x = 64,185,956.33/9,095.14
  6. Step 6: Final answer
    x = 7,057.17

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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.