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Finding the Fourth Proportional to 9,913.47, 13,681.98 and 6,137.84

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Solution

The fourth proportional to 9,913.47, 13,681.98 and 6,137.84 is: 8,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.47 : 13,681.98 = 6,137.84 : x
  2. Step 2: Convert to fraction form
    9,913.47/13,681.98 = 6,137.84/x
  3. Step 3: Cross multiply
    9,913.47x = 13,681.98 × 6,137.84
  4. Step 4: Simplify right side
    9,913.47x = 83,977,804.12
  5. Step 5: Solve for x
    x = 83,977,804.12/9,913.47
  6. Step 6: Final answer
    x = 8,471.08

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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.