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Finding the Fourth Proportional to 9,526.02, 13,146 and 5,748.46

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Solution

The fourth proportional to 9,526.02, 13,146 and 5,748.46 is: 7,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.02 : 13,146 = 5,748.46 : x
  2. Step 2: Convert to fraction form
    9,526.02/13,146 = 5,748.46/x
  3. Step 3: Cross multiply
    9,526.02x = 13,146 × 5,748.46
  4. Step 4: Simplify right side
    9,526.02x = 75,569,255.16
  5. Step 5: Solve for x
    x = 75,569,255.16/9,526.02
  6. Step 6: Final answer
    x = 7,932.93

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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.