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Finding the Fourth Proportional to 28,658.37, 42,985 and 9,937.98

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Solution

The fourth proportional to 28,658.37, 42,985 and 9,937.98 is: 14,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,658.37 : 42,985 = 9,937.98 : x
  2. Step 2: Convert to fraction form
    28,658.37/42,985 = 9,937.98/x
  3. Step 3: Cross multiply
    28,658.37x = 42,985 × 9,937.98
  4. Step 4: Simplify right side
    28,658.37x = 427,184,070.30
  5. Step 5: Solve for x
    x = 427,184,070.30/28,658.37
  6. Step 6: Final answer
    x = 14,906.08

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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.