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Finding the Fourth Proportional to 9,598.96, 13,250.28 and 7,503.76

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Solution

The fourth proportional to 9,598.96, 13,250.28 and 7,503.76 is: 10,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.96 : 13,250.28 = 7,503.76 : x
  2. Step 2: Convert to fraction form
    9,598.96/13,250.28 = 7,503.76/x
  3. Step 3: Cross multiply
    9,598.96x = 13,250.28 × 7,503.76
  4. Step 4: Simplify right side
    9,598.96x = 99,426,921.05
  5. Step 5: Solve for x
    x = 99,426,921.05/9,598.96
  6. Step 6: Final answer
    x = 10,358.09

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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.