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Finding the Fourth Proportional to 9,130.81, 12,600.54 and 5,151.93

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Solution

The fourth proportional to 9,130.81, 12,600.54 and 5,151.93 is: 7,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.81 : 12,600.54 = 5,151.93 : x
  2. Step 2: Convert to fraction form
    9,130.81/12,600.54 = 5,151.93/x
  3. Step 3: Cross multiply
    9,130.81x = 12,600.54 × 5,151.93
  4. Step 4: Simplify right side
    9,130.81x = 64,917,100.04
  5. Step 5: Solve for x
    x = 64,917,100.04/9,130.81
  6. Step 6: Final answer
    x = 7,109.68

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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.