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Finding the Fourth Proportional to 9,985.92, 14,911.99 and 9,297.01

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Solution

The fourth proportional to 9,985.92, 14,911.99 and 9,297.01 is: 13,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.92 : 14,911.99 = 9,297.01 : x
  2. Step 2: Convert to fraction form
    9,985.92/14,911.99 = 9,297.01/x
  3. Step 3: Cross multiply
    9,985.92x = 14,911.99 × 9,297.01
  4. Step 4: Simplify right side
    9,985.92x = 138,636,941.70
  5. Step 5: Solve for x
    x = 138,636,941.70/9,985.92
  6. Step 6: Final answer
    x = 13,883.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.