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Finding the Fourth Proportional to 9,281.54, 12,801.30 and 5,746.70

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Solution

The fourth proportional to 9,281.54, 12,801.30 and 5,746.70 is: 7,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.54 : 12,801.30 = 5,746.70 : x
  2. Step 2: Convert to fraction form
    9,281.54/12,801.30 = 5,746.70/x
  3. Step 3: Cross multiply
    9,281.54x = 12,801.30 × 5,746.70
  4. Step 4: Simplify right side
    9,281.54x = 73,565,230.71
  5. Step 5: Solve for x
    x = 73,565,230.71/9,281.54
  6. Step 6: Final answer
    x = 7,925.97

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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.