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Finding the Fourth Proportional to 9,737.72, 14,597.97 and 4,737.34

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Solution

The fourth proportional to 9,737.72, 14,597.97 and 4,737.34 is: 7,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.72 : 14,597.97 = 4,737.34 : x
  2. Step 2: Convert to fraction form
    9,737.72/14,597.97 = 4,737.34/x
  3. Step 3: Cross multiply
    9,737.72x = 14,597.97 × 4,737.34
  4. Step 4: Simplify right side
    9,737.72x = 69,155,492.22
  5. Step 5: Solve for x
    x = 69,155,492.22/9,737.72
  6. Step 6: Final answer
    x = 7,101.82

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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.