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Finding the Fourth Proportional to 6,531.69, 9,013.71 and 3,547.50

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Solution

The fourth proportional to 6,531.69, 9,013.71 and 3,547.50 is: 4,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.69 : 9,013.71 = 3,547.50 : x
  2. Step 2: Convert to fraction form
    6,531.69/9,013.71 = 3,547.50/x
  3. Step 3: Cross multiply
    6,531.69x = 9,013.71 × 3,547.50
  4. Step 4: Simplify right side
    6,531.69x = 31,976,136.23
  5. Step 5: Solve for x
    x = 31,976,136.23/6,531.69
  6. Step 6: Final answer
    x = 4,895.54

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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.