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Finding the Fourth Proportional to 9,290.77, 12,820.81 and 5,312.32

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Solution

The fourth proportional to 9,290.77, 12,820.81 and 5,312.32 is: 7,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.77 : 12,820.81 = 5,312.32 : x
  2. Step 2: Convert to fraction form
    9,290.77/12,820.81 = 5,312.32/x
  3. Step 3: Cross multiply
    9,290.77x = 12,820.81 × 5,312.32
  4. Step 4: Simplify right side
    9,290.77x = 68,108,154.71
  5. Step 5: Solve for x
    x = 68,108,154.71/9,290.77
  6. Step 6: Final answer
    x = 7,330.74

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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.