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Finding the Fourth Proportional to 9,057.05, 12,495.74 and 5,470.67

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Solution

The fourth proportional to 9,057.05, 12,495.74 and 5,470.67 is: 7,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.05 : 12,495.74 = 5,470.67 : x
  2. Step 2: Convert to fraction form
    9,057.05/12,495.74 = 5,470.67/x
  3. Step 3: Cross multiply
    9,057.05x = 12,495.74 × 5,470.67
  4. Step 4: Simplify right side
    9,057.05x = 68,360,024.06
  5. Step 5: Solve for x
    x = 68,360,024.06/9,057.05
  6. Step 6: Final answer
    x = 7,547.72

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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.