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Finding the Fourth Proportional to 9,721.42, 14,582.03 and 4,454.93

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Solution

The fourth proportional to 9,721.42, 14,582.03 and 4,454.93 is: 6,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.42 : 14,582.03 = 4,454.93 : x
  2. Step 2: Convert to fraction form
    9,721.42/14,582.03 = 4,454.93/x
  3. Step 3: Cross multiply
    9,721.42x = 14,582.03 × 4,454.93
  4. Step 4: Simplify right side
    9,721.42x = 64,961,922.91
  5. Step 5: Solve for x
    x = 64,961,922.91/9,721.42
  6. Step 6: Final answer
    x = 6,682.35

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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.