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Finding the Fourth Proportional to 9,657.06, 13,325.78 and 5,407.88

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Solution

The fourth proportional to 9,657.06, 13,325.78 and 5,407.88 is: 7,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.06 : 13,325.78 = 5,407.88 : x
  2. Step 2: Convert to fraction form
    9,657.06/13,325.78 = 5,407.88/x
  3. Step 3: Cross multiply
    9,657.06x = 13,325.78 × 5,407.88
  4. Step 4: Simplify right side
    9,657.06x = 72,064,219.15
  5. Step 5: Solve for x
    x = 72,064,219.15/9,657.06
  6. Step 6: Final answer
    x = 7,462.34

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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.