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Finding the Fourth Proportional to 9,859.23, 13,582.40 and 6,869.72

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Solution

The fourth proportional to 9,859.23, 13,582.40 and 6,869.72 is: 9,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.23 : 13,582.40 = 6,869.72 : x
  2. Step 2: Convert to fraction form
    9,859.23/13,582.40 = 6,869.72/x
  3. Step 3: Cross multiply
    9,859.23x = 13,582.40 × 6,869.72
  4. Step 4: Simplify right side
    9,859.23x = 93,307,182.67
  5. Step 5: Solve for x
    x = 93,307,182.67/9,859.23
  6. Step 6: Final answer
    x = 9,463.94

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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.