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Finding the Fourth Proportional to 9,524.70, 14,285.43 and 2,597.58

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Solution

The fourth proportional to 9,524.70, 14,285.43 and 2,597.58 is: 3,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.70 : 14,285.43 = 2,597.58 : x
  2. Step 2: Convert to fraction form
    9,524.70/14,285.43 = 2,597.58/x
  3. Step 3: Cross multiply
    9,524.70x = 14,285.43 × 2,597.58
  4. Step 4: Simplify right side
    9,524.70x = 37,107,547.26
  5. Step 5: Solve for x
    x = 37,107,547.26/9,524.70
  6. Step 6: Final answer
    x = 3,895.93

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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.