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Finding the Fourth Proportional to 9,734.42, 14,602.65 and 4,468.53

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Solution

The fourth proportional to 9,734.42, 14,602.65 and 4,468.53 is: 6,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.42 : 14,602.65 = 4,468.53 : x
  2. Step 2: Convert to fraction form
    9,734.42/14,602.65 = 4,468.53/x
  3. Step 3: Cross multiply
    9,734.42x = 14,602.65 × 4,468.53
  4. Step 4: Simplify right side
    9,734.42x = 65,252,379.60
  5. Step 5: Solve for x
    x = 65,252,379.60/9,734.42
  6. Step 6: Final answer
    x = 6,703.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.