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Finding the Fourth Proportional to 9,503.16, 13,114.14 and 5,525.66

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Solution

The fourth proportional to 9,503.16, 13,114.14 and 5,525.66 is: 7,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.16 : 13,114.14 = 5,525.66 : x
  2. Step 2: Convert to fraction form
    9,503.16/13,114.14 = 5,525.66/x
  3. Step 3: Cross multiply
    9,503.16x = 13,114.14 × 5,525.66
  4. Step 4: Simplify right side
    9,503.16x = 72,464,278.83
  5. Step 5: Solve for x
    x = 72,464,278.83/9,503.16
  6. Step 6: Final answer
    x = 7,625.28

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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.