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Finding the Fourth Proportional to 9,582.77, 14,369.29 and 4,384.19

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Solution

The fourth proportional to 9,582.77, 14,369.29 and 4,384.19 is: 6,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.77 : 14,369.29 = 4,384.19 : x
  2. Step 2: Convert to fraction form
    9,582.77/14,369.29 = 4,384.19/x
  3. Step 3: Cross multiply
    9,582.77x = 14,369.29 × 4,384.19
  4. Step 4: Simplify right side
    9,582.77x = 62,997,675.60
  5. Step 5: Solve for x
    x = 62,997,675.60/9,582.77
  6. Step 6: Final answer
    x = 6,574.06

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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.