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Finding the Fourth Proportional to 9,135.96, 12,607.55 and 5,156.93

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Solution

The fourth proportional to 9,135.96, 12,607.55 and 5,156.93 is: 7,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.96 : 12,607.55 = 5,156.93 : x
  2. Step 2: Convert to fraction form
    9,135.96/12,607.55 = 5,156.93/x
  3. Step 3: Cross multiply
    9,135.96x = 12,607.55 × 5,156.93
  4. Step 4: Simplify right side
    9,135.96x = 65,016,277.89
  5. Step 5: Solve for x
    x = 65,016,277.89/9,135.96
  6. Step 6: Final answer
    x = 7,116.53

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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.