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Finding the Fourth Proportional to 9,992.95, 14,985.77 and 4,150.01

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Solution

The fourth proportional to 9,992.95, 14,985.77 and 4,150.01 is: 6,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.95 : 14,985.77 = 4,150.01 : x
  2. Step 2: Convert to fraction form
    9,992.95/14,985.77 = 4,150.01/x
  3. Step 3: Cross multiply
    9,992.95x = 14,985.77 × 4,150.01
  4. Step 4: Simplify right side
    9,992.95x = 62,191,095.36
  5. Step 5: Solve for x
    x = 62,191,095.36/9,992.95
  6. Step 6: Final answer
    x = 6,223.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.