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Finding the Fourth Proportional to 35,609.64, 53,417.49 and 9,314.34

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Solution

The fourth proportional to 35,609.64, 53,417.49 and 9,314.34 is: 13,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,609.64 : 53,417.49 = 9,314.34 : x
  2. Step 2: Convert to fraction form
    35,609.64/53,417.49 = 9,314.34/x
  3. Step 3: Cross multiply
    35,609.64x = 53,417.49 × 9,314.34
  4. Step 4: Simplify right side
    35,609.64x = 497,548,663.81
  5. Step 5: Solve for x
    x = 497,548,663.81/35,609.64
  6. Step 6: Final answer
    x = 13,972.30

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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.