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Finding the Fourth Proportional to 9,094.16, 13,641.14 and 2,430.66

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Solution

The fourth proportional to 9,094.16, 13,641.14 and 2,430.66 is: 3,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.16 : 13,641.14 = 2,430.66 : x
  2. Step 2: Convert to fraction form
    9,094.16/13,641.14 = 2,430.66/x
  3. Step 3: Cross multiply
    9,094.16x = 13,641.14 × 2,430.66
  4. Step 4: Simplify right side
    9,094.16x = 33,156,973.35
  5. Step 5: Solve for x
    x = 33,156,973.35/9,094.16
  6. Step 6: Final answer
    x = 3,645.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.