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Finding the Fourth Proportional to 9,709.07, 14,584.35 and 6,953.45

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Solution

The fourth proportional to 9,709.07, 14,584.35 and 6,953.45 is: 10,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.07 : 14,584.35 = 6,953.45 : x
  2. Step 2: Convert to fraction form
    9,709.07/14,584.35 = 6,953.45/x
  3. Step 3: Cross multiply
    9,709.07x = 14,584.35 × 6,953.45
  4. Step 4: Simplify right side
    9,709.07x = 101,411,548.51
  5. Step 5: Solve for x
    x = 101,411,548.51/9,709.07
  6. Step 6: Final answer
    x = 10,445.03

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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.