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Finding the Fourth Proportional to 9,077.76, 12,526.83 and 5,098.86

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Solution

The fourth proportional to 9,077.76, 12,526.83 and 5,098.86 is: 7,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.76 : 12,526.83 = 5,098.86 : x
  2. Step 2: Convert to fraction form
    9,077.76/12,526.83 = 5,098.86/x
  3. Step 3: Cross multiply
    9,077.76x = 12,526.83 × 5,098.86
  4. Step 4: Simplify right side
    9,077.76x = 63,872,552.41
  5. Step 5: Solve for x
    x = 63,872,552.41/9,077.76
  6. Step 6: Final answer
    x = 7,036.16

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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.