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Finding the Fourth Proportional to 9,420.32, 14,130.78 and 4,737.77

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Solution

The fourth proportional to 9,420.32, 14,130.78 and 4,737.77 is: 7,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.32 : 14,130.78 = 4,737.77 : x
  2. Step 2: Convert to fraction form
    9,420.32/14,130.78 = 4,737.77/x
  3. Step 3: Cross multiply
    9,420.32x = 14,130.78 × 4,737.77
  4. Step 4: Simplify right side
    9,420.32x = 66,948,450.48
  5. Step 5: Solve for x
    x = 66,948,450.48/9,420.32
  6. Step 6: Final answer
    x = 7,106.81

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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.