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Finding the Fourth Proportional to 6,547.04, 9,818.64 and 2,164.16

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Solution

The fourth proportional to 6,547.04, 9,818.64 and 2,164.16 is: 3,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.04 : 9,818.64 = 2,164.16 : x
  2. Step 2: Convert to fraction form
    6,547.04/9,818.64 = 2,164.16/x
  3. Step 3: Cross multiply
    6,547.04x = 9,818.64 × 2,164.16
  4. Step 4: Simplify right side
    6,547.04x = 21,249,107.94
  5. Step 5: Solve for x
    x = 21,249,107.94/6,547.04
  6. Step 6: Final answer
    x = 3,245.61

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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.