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Finding the Fourth Proportional to 9,117.84, 12,582.63 and 4,926.09

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Solution

The fourth proportional to 9,117.84, 12,582.63 and 4,926.09 is: 6,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.84 : 12,582.63 = 4,926.09 : x
  2. Step 2: Convert to fraction form
    9,117.84/12,582.63 = 4,926.09/x
  3. Step 3: Cross multiply
    9,117.84x = 12,582.63 × 4,926.09
  4. Step 4: Simplify right side
    9,117.84x = 61,983,196.53
  5. Step 5: Solve for x
    x = 61,983,196.53/9,117.84
  6. Step 6: Final answer
    x = 6,798.01

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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.