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Finding the Fourth Proportional to 9,130.35, 12,607.34 and 5,778.57

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Solution

The fourth proportional to 9,130.35, 12,607.34 and 5,778.57 is: 7,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.35 : 12,607.34 = 5,778.57 : x
  2. Step 2: Convert to fraction form
    9,130.35/12,607.34 = 5,778.57/x
  3. Step 3: Cross multiply
    9,130.35x = 12,607.34 × 5,778.57
  4. Step 4: Simplify right side
    9,130.35x = 72,852,367.81
  5. Step 5: Solve for x
    x = 72,852,367.81/9,130.35
  6. Step 6: Final answer
    x = 7,979.14

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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.