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Finding the Fourth Proportional to 10,559.64, 14,534.70 and 9,230.04

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Solution

The fourth proportional to 10,559.64, 14,534.70 and 9,230.04 is: 12,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.64 : 14,534.70 = 9,230.04 : x
  2. Step 2: Convert to fraction form
    10,559.64/14,534.70 = 9,230.04/x
  3. Step 3: Cross multiply
    10,559.64x = 14,534.70 × 9,230.04
  4. Step 4: Simplify right side
    10,559.64x = 134,155,862.39
  5. Step 5: Solve for x
    x = 134,155,862.39/10,559.64
  6. Step 6: Final answer
    x = 12,704.59

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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.