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Finding the Fourth Proportional to 9,117.58, 12,582.48 and 5,343.16

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Solution

The fourth proportional to 9,117.58, 12,582.48 and 5,343.16 is: 7,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.58 : 12,582.48 = 5,343.16 : x
  2. Step 2: Convert to fraction form
    9,117.58/12,582.48 = 5,343.16/x
  3. Step 3: Cross multiply
    9,117.58x = 12,582.48 × 5,343.16
  4. Step 4: Simplify right side
    9,117.58x = 67,230,203.84
  5. Step 5: Solve for x
    x = 67,230,203.84/9,117.58
  6. Step 6: Final answer
    x = 7,373.69

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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.