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Finding the Fourth Proportional to 9,312.75, 12,852.90 and 5,777.10

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Solution

The fourth proportional to 9,312.75, 12,852.90 and 5,777.10 is: 7,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.75 : 12,852.90 = 5,777.10 : x
  2. Step 2: Convert to fraction form
    9,312.75/12,852.90 = 5,777.10/x
  3. Step 3: Cross multiply
    9,312.75x = 12,852.90 × 5,777.10
  4. Step 4: Simplify right side
    9,312.75x = 74,252,488.59
  5. Step 5: Solve for x
    x = 74,252,488.59/9,312.75
  6. Step 6: Final answer
    x = 7,973.21

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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.