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Finding the Fourth Proportional to 9,737.25, 14,595.94 and 4,468.64

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Solution

The fourth proportional to 9,737.25, 14,595.94 and 4,468.64 is: 6,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.25 : 14,595.94 = 4,468.64 : x
  2. Step 2: Convert to fraction form
    9,737.25/14,595.94 = 4,468.64/x
  3. Step 3: Cross multiply
    9,737.25x = 14,595.94 × 4,468.64
  4. Step 4: Simplify right side
    9,737.25x = 65,223,933.93
  5. Step 5: Solve for x
    x = 65,223,933.93/9,737.25
  6. Step 6: Final answer
    x = 6,698.40

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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.