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Finding the Fourth Proportional to 9,552.57, 14,330.54 and 2,977.12

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Solution

The fourth proportional to 9,552.57, 14,330.54 and 2,977.12 is: 4,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.57 : 14,330.54 = 2,977.12 : x
  2. Step 2: Convert to fraction form
    9,552.57/14,330.54 = 2,977.12/x
  3. Step 3: Cross multiply
    9,552.57x = 14,330.54 × 2,977.12
  4. Step 4: Simplify right side
    9,552.57x = 42,663,737.24
  5. Step 5: Solve for x
    x = 42,663,737.24/9,552.57
  6. Step 6: Final answer
    x = 4,466.21

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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.