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Finding the Fourth Proportional to 9,582.57, 14,376.98 and 4,037.47

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Solution

The fourth proportional to 9,582.57, 14,376.98 and 4,037.47 is: 6,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.57 : 14,376.98 = 4,037.47 : x
  2. Step 2: Convert to fraction form
    9,582.57/14,376.98 = 4,037.47/x
  3. Step 3: Cross multiply
    9,582.57x = 14,376.98 × 4,037.47
  4. Step 4: Simplify right side
    9,582.57x = 58,046,599.59
  5. Step 5: Solve for x
    x = 58,046,599.59/9,582.57
  6. Step 6: Final answer
    x = 6,057.52

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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.