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Finding the Fourth Proportional to 9,909.88, 14,865.63 and 4,976.98

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Solution

The fourth proportional to 9,909.88, 14,865.63 and 4,976.98 is: 7,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.88 : 14,865.63 = 4,976.98 : x
  2. Step 2: Convert to fraction form
    9,909.88/14,865.63 = 4,976.98/x
  3. Step 3: Cross multiply
    9,909.88x = 14,865.63 × 4,976.98
  4. Step 4: Simplify right side
    9,909.88x = 73,985,943.20
  5. Step 5: Solve for x
    x = 73,985,943.20/9,909.88
  6. Step 6: Final answer
    x = 7,465.88

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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.