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Finding the Fourth Proportional to 9,114.06, 12,564.09 and 6,594.15

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Solution

The fourth proportional to 9,114.06, 12,564.09 and 6,594.15 is: 9,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.06 : 12,564.09 = 6,594.15 : x
  2. Step 2: Convert to fraction form
    9,114.06/12,564.09 = 6,594.15/x
  3. Step 3: Cross multiply
    9,114.06x = 12,564.09 × 6,594.15
  4. Step 4: Simplify right side
    9,114.06x = 82,849,494.07
  5. Step 5: Solve for x
    x = 82,849,494.07/9,114.06
  6. Step 6: Final answer
    x = 9,090.30

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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.