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Finding the Fourth Proportional to 9,431.84, 13,014.90 and 5,454.20

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Solution

The fourth proportional to 9,431.84, 13,014.90 and 5,454.20 is: 7,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.84 : 13,014.90 = 5,454.20 : x
  2. Step 2: Convert to fraction form
    9,431.84/13,014.90 = 5,454.20/x
  3. Step 3: Cross multiply
    9,431.84x = 13,014.90 × 5,454.20
  4. Step 4: Simplify right side
    9,431.84x = 70,985,802.51
  5. Step 5: Solve for x
    x = 70,985,802.51/9,431.84
  6. Step 6: Final answer
    x = 7,526.19

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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.