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Finding the Fourth Proportional to 6,547.48, 9,819.72 and 1,867.40

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Solution

The fourth proportional to 6,547.48, 9,819.72 and 1,867.40 is: 2,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.48 : 9,819.72 = 1,867.40 : x
  2. Step 2: Convert to fraction form
    6,547.48/9,819.72 = 1,867.40/x
  3. Step 3: Cross multiply
    6,547.48x = 9,819.72 × 1,867.40
  4. Step 4: Simplify right side
    6,547.48x = 18,337,345.13
  5. Step 5: Solve for x
    x = 18,337,345.13/6,547.48
  6. Step 6: Final answer
    x = 2,800.67

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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.