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Finding the Fourth Proportional to 9,875.84, 13,625.16 and 5,681.60

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Solution

The fourth proportional to 9,875.84, 13,625.16 and 5,681.60 is: 7,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.84 : 13,625.16 = 5,681.60 : x
  2. Step 2: Convert to fraction form
    9,875.84/13,625.16 = 5,681.60/x
  3. Step 3: Cross multiply
    9,875.84x = 13,625.16 × 5,681.60
  4. Step 4: Simplify right side
    9,875.84x = 77,412,709.06
  5. Step 5: Solve for x
    x = 77,412,709.06/9,875.84
  6. Step 6: Final answer
    x = 7,838.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.