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Finding the Fourth Proportional to 9,801.63, 13,526.50 and 5,325.64

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Solution

The fourth proportional to 9,801.63, 13,526.50 and 5,325.64 is: 7,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.63 : 13,526.50 = 5,325.64 : x
  2. Step 2: Convert to fraction form
    9,801.63/13,526.50 = 5,325.64/x
  3. Step 3: Cross multiply
    9,801.63x = 13,526.50 × 5,325.64
  4. Step 4: Simplify right side
    9,801.63x = 72,037,269.46
  5. Step 5: Solve for x
    x = 72,037,269.46/9,801.63
  6. Step 6: Final answer
    x = 7,349.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.