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Finding the Fourth Proportional to 7,208.04, 9,946.50 and 4,065

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Solution

The fourth proportional to 7,208.04, 9,946.50 and 4,065 is: 5,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.04 : 9,946.50 = 4,065 : x
  2. Step 2: Convert to fraction form
    7,208.04/9,946.50 = 4,065/x
  3. Step 3: Cross multiply
    7,208.04x = 9,946.50 × 4,065
  4. Step 4: Simplify right side
    7,208.04x = 40,432,522.50
  5. Step 5: Solve for x
    x = 40,432,522.50/7,208.04
  6. Step 6: Final answer
    x = 5,609.36

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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.