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Finding the Fourth Proportional to 9,977.48, 14,848.42 and 9,645.26

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Solution

The fourth proportional to 9,977.48, 14,848.42 and 9,645.26 is: 14,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.48 : 14,848.42 = 9,645.26 : x
  2. Step 2: Convert to fraction form
    9,977.48/14,848.42 = 9,645.26/x
  3. Step 3: Cross multiply
    9,977.48x = 14,848.42 × 9,645.26
  4. Step 4: Simplify right side
    9,977.48x = 143,216,871.49
  5. Step 5: Solve for x
    x = 143,216,871.49/9,977.48
  6. Step 6: Final answer
    x = 14,354.01

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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.