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Finding the Fourth Proportional to 9,775.17, 13,489.74 and 5,298.91

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Solution

The fourth proportional to 9,775.17, 13,489.74 and 5,298.91 is: 7,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.17 : 13,489.74 = 5,298.91 : x
  2. Step 2: Convert to fraction form
    9,775.17/13,489.74 = 5,298.91/x
  3. Step 3: Cross multiply
    9,775.17x = 13,489.74 × 5,298.91
  4. Step 4: Simplify right side
    9,775.17x = 71,480,884.46
  5. Step 5: Solve for x
    x = 71,480,884.46/9,775.17
  6. Step 6: Final answer
    x = 7,312.50

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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.