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Finding the Fourth Proportional to 9,830.16, 14,747.40 and 7,225.20

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Solution

The fourth proportional to 9,830.16, 14,747.40 and 7,225.20 is: 10,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.16 : 14,747.40 = 7,225.20 : x
  2. Step 2: Convert to fraction form
    9,830.16/14,747.40 = 7,225.20/x
  3. Step 3: Cross multiply
    9,830.16x = 14,747.40 × 7,225.20
  4. Step 4: Simplify right side
    9,830.16x = 106,552,914.48
  5. Step 5: Solve for x
    x = 106,552,914.48/9,830.16
  6. Step 6: Final answer
    x = 10,839.39

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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.