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Finding the Fourth Proportional to 6,547.66, 9,012.95 and 5,706.90

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Solution

The fourth proportional to 6,547.66, 9,012.95 and 5,706.90 is: 7,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.66 : 9,012.95 = 5,706.90 : x
  2. Step 2: Convert to fraction form
    6,547.66/9,012.95 = 5,706.90/x
  3. Step 3: Cross multiply
    6,547.66x = 9,012.95 × 5,706.90
  4. Step 4: Simplify right side
    6,547.66x = 51,435,975.82
  5. Step 5: Solve for x
    x = 51,435,975.82/6,547.66
  6. Step 6: Final answer
    x = 7,855.63

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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.