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Finding the Fourth Proportional to 35,804.34, 53,707.41 and 9,509.04

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Solution

The fourth proportional to 35,804.34, 53,707.41 and 9,509.04 is: 14,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,804.34 : 53,707.41 = 9,509.04 : x
  2. Step 2: Convert to fraction form
    35,804.34/53,707.41 = 9,509.04/x
  3. Step 3: Cross multiply
    35,804.34x = 53,707.41 × 9,509.04
  4. Step 4: Simplify right side
    35,804.34x = 510,705,909.99
  5. Step 5: Solve for x
    x = 510,705,909.99/35,804.34
  6. Step 6: Final answer
    x = 14,263.80

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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.