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Finding the Fourth Proportional to 9,964.60, 13,750.98 and 5,488.77

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Solution

The fourth proportional to 9,964.60, 13,750.98 and 5,488.77 is: 7,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.60 : 13,750.98 = 5,488.77 : x
  2. Step 2: Convert to fraction form
    9,964.60/13,750.98 = 5,488.77/x
  3. Step 3: Cross multiply
    9,964.60x = 13,750.98 × 5,488.77
  4. Step 4: Simplify right side
    9,964.60x = 75,475,894.35
  5. Step 5: Solve for x
    x = 75,475,894.35/9,964.60
  6. Step 6: Final answer
    x = 7,574.40

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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.