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Finding the Fourth Proportional to 9,509.30, 14,242.41 and 4,582.47

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Solution

The fourth proportional to 9,509.30, 14,242.41 and 4,582.47 is: 6,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.30 : 14,242.41 = 4,582.47 : x
  2. Step 2: Convert to fraction form
    9,509.30/14,242.41 = 4,582.47/x
  3. Step 3: Cross multiply
    9,509.30x = 14,242.41 × 4,582.47
  4. Step 4: Simplify right side
    9,509.30x = 65,265,416.55
  5. Step 5: Solve for x
    x = 65,265,416.55/9,509.30
  6. Step 6: Final answer
    x = 6,863.33

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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.