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Finding the Fourth Proportional to 9,282.90, 13,925.91 and 4,603.14

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Solution

The fourth proportional to 9,282.90, 13,925.91 and 4,603.14 is: 6,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.90 : 13,925.91 = 4,603.14 : x
  2. Step 2: Convert to fraction form
    9,282.90/13,925.91 = 4,603.14/x
  3. Step 3: Cross multiply
    9,282.90x = 13,925.91 × 4,603.14
  4. Step 4: Simplify right side
    9,282.90x = 64,102,913.36
  5. Step 5: Solve for x
    x = 64,102,913.36/9,282.90
  6. Step 6: Final answer
    x = 6,905.48

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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.