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Finding the Fourth Proportional to 9,582.53, 13,223.88 and 5,602.85

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Solution

The fourth proportional to 9,582.53, 13,223.88 and 5,602.85 is: 7,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.53 : 13,223.88 = 5,602.85 : x
  2. Step 2: Convert to fraction form
    9,582.53/13,223.88 = 5,602.85/x
  3. Step 3: Cross multiply
    9,582.53x = 13,223.88 × 5,602.85
  4. Step 4: Simplify right side
    9,582.53x = 74,091,416.06
  5. Step 5: Solve for x
    x = 74,091,416.06/9,582.53
  6. Step 6: Final answer
    x = 7,731.93

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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.