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Finding the Fourth Proportional to 9,597.70, 14,388.55 and 4,055.30

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Solution

The fourth proportional to 9,597.70, 14,388.55 and 4,055.30 is: 6,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.70 : 14,388.55 = 4,055.30 : x
  2. Step 2: Convert to fraction form
    9,597.70/14,388.55 = 4,055.30/x
  3. Step 3: Cross multiply
    9,597.70x = 14,388.55 × 4,055.30
  4. Step 4: Simplify right side
    9,597.70x = 58,349,886.82
  5. Step 5: Solve for x
    x = 58,349,886.82/9,597.70
  6. Step 6: Final answer
    x = 6,079.57

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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.