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Finding the Fourth Proportional to 9,084.98, 12,533.18 and 5,547.54

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Solution

The fourth proportional to 9,084.98, 12,533.18 and 5,547.54 is: 7,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.98 : 12,533.18 = 5,547.54 : x
  2. Step 2: Convert to fraction form
    9,084.98/12,533.18 = 5,547.54/x
  3. Step 3: Cross multiply
    9,084.98x = 12,533.18 × 5,547.54
  4. Step 4: Simplify right side
    9,084.98x = 69,528,317.38
  5. Step 5: Solve for x
    x = 69,528,317.38/9,084.98
  6. Step 6: Final answer
    x = 7,653.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.