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Finding the Fourth Proportional to 9,503.04, 14,254.02 and 2,577

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Solution

The fourth proportional to 9,503.04, 14,254.02 and 2,577 is: 3,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.04 : 14,254.02 = 2,577 : x
  2. Step 2: Convert to fraction form
    9,503.04/14,254.02 = 2,577/x
  3. Step 3: Cross multiply
    9,503.04x = 14,254.02 × 2,577
  4. Step 4: Simplify right side
    9,503.04x = 36,732,609.54
  5. Step 5: Solve for x
    x = 36,732,609.54/9,503.04
  6. Step 6: Final answer
    x = 3,865.35

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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.