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Finding the Fourth Proportional to 9,432.63, 13,026.47 and 7,770.51

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Solution

The fourth proportional to 9,432.63, 13,026.47 and 7,770.51 is: 10,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.63 : 13,026.47 = 7,770.51 : x
  2. Step 2: Convert to fraction form
    9,432.63/13,026.47 = 7,770.51/x
  3. Step 3: Cross multiply
    9,432.63x = 13,026.47 × 7,770.51
  4. Step 4: Simplify right side
    9,432.63x = 101,222,276.55
  5. Step 5: Solve for x
    x = 101,222,276.55/9,432.63
  6. Step 6: Final answer
    x = 10,731.08

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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.