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Finding the Fourth Proportional to 9,737.64, 14,602.41 and 4,188.06

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Solution

The fourth proportional to 9,737.64, 14,602.41 and 4,188.06 is: 6,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.64 : 14,602.41 = 4,188.06 : x
  2. Step 2: Convert to fraction form
    9,737.64/14,602.41 = 4,188.06/x
  3. Step 3: Cross multiply
    9,737.64x = 14,602.41 × 4,188.06
  4. Step 4: Simplify right side
    9,737.64x = 61,155,769.22
  5. Step 5: Solve for x
    x = 61,155,769.22/9,737.64
  6. Step 6: Final answer
    x = 6,280.35

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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.