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Finding the Fourth Proportional to 7,122.48, 9,829.40 and 4,605

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Solution

The fourth proportional to 7,122.48, 9,829.40 and 4,605 is: 6,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.48 : 9,829.40 = 4,605 : x
  2. Step 2: Convert to fraction form
    7,122.48/9,829.40 = 4,605/x
  3. Step 3: Cross multiply
    7,122.48x = 9,829.40 × 4,605
  4. Step 4: Simplify right side
    7,122.48x = 45,264,363.98
  5. Step 5: Solve for x
    x = 45,264,363.98/7,122.48
  6. Step 6: Final answer
    x = 6,355.14

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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.