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Finding the Fourth Proportional to 9,528.67, 14,295.98 and 4,597.46

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Solution

The fourth proportional to 9,528.67, 14,295.98 and 4,597.46 is: 6,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.67 : 14,295.98 = 4,597.46 : x
  2. Step 2: Convert to fraction form
    9,528.67/14,295.98 = 4,597.46/x
  3. Step 3: Cross multiply
    9,528.67x = 14,295.98 × 4,597.46
  4. Step 4: Simplify right side
    9,528.67x = 65,725,196.21
  5. Step 5: Solve for x
    x = 65,725,196.21/9,528.67
  6. Step 6: Final answer
    x = 6,897.63

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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.