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Finding the Fourth Proportional to 6,547.54, 9,814.92 and 4,328.02

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Solution

The fourth proportional to 6,547.54, 9,814.92 and 4,328.02 is: 6,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.54 : 9,814.92 = 4,328.02 : x
  2. Step 2: Convert to fraction form
    6,547.54/9,814.92 = 4,328.02/x
  3. Step 3: Cross multiply
    6,547.54x = 9,814.92 × 4,328.02
  4. Step 4: Simplify right side
    6,547.54x = 42,479,170.06
  5. Step 5: Solve for x
    x = 42,479,170.06/6,547.54
  6. Step 6: Final answer
    x = 6,487.81

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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.