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Finding the Fourth Proportional to 9,737.59, 14,595.85 and 3,887.77

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Solution

The fourth proportional to 9,737.59, 14,595.85 and 3,887.77 is: 5,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.59 : 14,595.85 = 3,887.77 : x
  2. Step 2: Convert to fraction form
    9,737.59/14,595.85 = 3,887.77/x
  3. Step 3: Cross multiply
    9,737.59x = 14,595.85 × 3,887.77
  4. Step 4: Simplify right side
    9,737.59x = 56,745,307.75
  5. Step 5: Solve for x
    x = 56,745,307.75/9,737.59
  6. Step 6: Final answer
    x = 5,827.45

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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.