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Finding the Fourth Proportional to 7,172.16, 9,897.60 and 4,029.12

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Solution

The fourth proportional to 7,172.16, 9,897.60 and 4,029.12 is: 5,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.16 : 9,897.60 = 4,029.12 : x
  2. Step 2: Convert to fraction form
    7,172.16/9,897.60 = 4,029.12/x
  3. Step 3: Cross multiply
    7,172.16x = 9,897.60 × 4,029.12
  4. Step 4: Simplify right side
    7,172.16x = 39,878,618.11
  5. Step 5: Solve for x
    x = 39,878,618.11/7,172.16
  6. Step 6: Final answer
    x = 5,560.20

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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.