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Finding the Fourth Proportional to 9,200, 13,802.72 and 5,307.20

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Solution

The fourth proportional to 9,200, 13,802.72 and 5,307.20 is: 7,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200 : 13,802.72 = 5,307.20 : x
  2. Step 2: Convert to fraction form
    9,200/13,802.72 = 5,307.20/x
  3. Step 3: Cross multiply
    9,200x = 13,802.72 × 5,307.20
  4. Step 4: Simplify right side
    9,200x = 73,253,795.58
  5. Step 5: Solve for x
    x = 73,253,795.58/9,200
  6. Step 6: Final answer
    x = 7,962.37

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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.