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Finding the Fourth Proportional to 9,699.84, 14,523.84 and 7,570.08

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Solution

The fourth proportional to 9,699.84, 14,523.84 and 7,570.08 is: 11,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.84 : 14,523.84 = 7,570.08 : x
  2. Step 2: Convert to fraction form
    9,699.84/14,523.84 = 7,570.08/x
  3. Step 3: Cross multiply
    9,699.84x = 14,523.84 × 7,570.08
  4. Step 4: Simplify right side
    9,699.84x = 109,946,630.71
  5. Step 5: Solve for x
    x = 109,946,630.71/9,699.84
  6. Step 6: Final answer
    x = 11,334.89

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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.