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Finding the Fourth Proportional to 9,602.21, 13,250.66 and 5,353.04

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Solution

The fourth proportional to 9,602.21, 13,250.66 and 5,353.04 is: 7,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.21 : 13,250.66 = 5,353.04 : x
  2. Step 2: Convert to fraction form
    9,602.21/13,250.66 = 5,353.04/x
  3. Step 3: Cross multiply
    9,602.21x = 13,250.66 × 5,353.04
  4. Step 4: Simplify right side
    9,602.21x = 70,931,319.37
  5. Step 5: Solve for x
    x = 70,931,319.37/9,602.21
  6. Step 6: Final answer
    x = 7,386.98

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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.