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Finding the Fourth Proportional to 9,741.87, 14,607.54 and 4,742.55

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Solution

The fourth proportional to 9,741.87, 14,607.54 and 4,742.55 is: 7,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.87 : 14,607.54 = 4,742.55 : x
  2. Step 2: Convert to fraction form
    9,741.87/14,607.54 = 4,742.55/x
  3. Step 3: Cross multiply
    9,741.87x = 14,607.54 × 4,742.55
  4. Step 4: Simplify right side
    9,741.87x = 69,276,988.83
  5. Step 5: Solve for x
    x = 69,276,988.83/9,741.87
  6. Step 6: Final answer
    x = 7,111.26

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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.