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Finding the Fourth Proportional to 9,190.31, 13,681.53 and 9,135.63

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Solution

The fourth proportional to 9,190.31, 13,681.53 and 9,135.63 is: 13,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.31 : 13,681.53 = 9,135.63 : x
  2. Step 2: Convert to fraction form
    9,190.31/13,681.53 = 9,135.63/x
  3. Step 3: Cross multiply
    9,190.31x = 13,681.53 × 9,135.63
  4. Step 4: Simplify right side
    9,190.31x = 124,989,350.24
  5. Step 5: Solve for x
    x = 124,989,350.24/9,190.31
  6. Step 6: Final answer
    x = 13,600.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.