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Finding the Fourth Proportional to 9,700.25, 13,386.35 and 5,284.25

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Solution

The fourth proportional to 9,700.25, 13,386.35 and 5,284.25 is: 7,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.25 : 13,386.35 = 5,284.25 : x
  2. Step 2: Convert to fraction form
    9,700.25/13,386.35 = 5,284.25/x
  3. Step 3: Cross multiply
    9,700.25x = 13,386.35 × 5,284.25
  4. Step 4: Simplify right side
    9,700.25x = 70,736,819.99
  5. Step 5: Solve for x
    x = 70,736,819.99/9,700.25
  6. Step 6: Final answer
    x = 7,292.27

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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.