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Finding the Fourth Proportional to 9,547.98, 13,175.35 and 5,569.44

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Solution

The fourth proportional to 9,547.98, 13,175.35 and 5,569.44 is: 7,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.98 : 13,175.35 = 5,569.44 : x
  2. Step 2: Convert to fraction form
    9,547.98/13,175.35 = 5,569.44/x
  3. Step 3: Cross multiply
    9,547.98x = 13,175.35 × 5,569.44
  4. Step 4: Simplify right side
    9,547.98x = 73,379,321.30
  5. Step 5: Solve for x
    x = 73,379,321.30/9,547.98
  6. Step 6: Final answer
    x = 7,685.32

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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.