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Finding the Fourth Proportional to 9,855.81, 13,597.45 and 7,587.84

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Solution

The fourth proportional to 9,855.81, 13,597.45 and 7,587.84 is: 10,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.81 : 13,597.45 = 7,587.84 : x
  2. Step 2: Convert to fraction form
    9,855.81/13,597.45 = 7,587.84/x
  3. Step 3: Cross multiply
    9,855.81x = 13,597.45 × 7,587.84
  4. Step 4: Simplify right side
    9,855.81x = 103,175,275.01
  5. Step 5: Solve for x
    x = 103,175,275.01/9,855.81
  6. Step 6: Final answer
    x = 10,468.47

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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.