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Finding the Fourth Proportional to 9,737.01, 14,599.68 and 4,465.42

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Solution

The fourth proportional to 9,737.01, 14,599.68 and 4,465.42 is: 6,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.01 : 14,599.68 = 4,465.42 : x
  2. Step 2: Convert to fraction form
    9,737.01/14,599.68 = 4,465.42/x
  3. Step 3: Cross multiply
    9,737.01x = 14,599.68 × 4,465.42
  4. Step 4: Simplify right side
    9,737.01x = 65,193,666.37
  5. Step 5: Solve for x
    x = 65,193,666.37/9,737.01
  6. Step 6: Final answer
    x = 6,695.45

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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.