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Finding the Fourth Proportional to 9,117.94, 12,582.76 and 4,926.19

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Solution

The fourth proportional to 9,117.94, 12,582.76 and 4,926.19 is: 6,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.94 : 12,582.76 = 4,926.19 : x
  2. Step 2: Convert to fraction form
    9,117.94/12,582.76 = 4,926.19/x
  3. Step 3: Cross multiply
    9,117.94x = 12,582.76 × 4,926.19
  4. Step 4: Simplify right side
    9,117.94x = 61,985,041.85
  5. Step 5: Solve for x
    x = 61,985,041.85/9,117.94
  6. Step 6: Final answer
    x = 6,798.14

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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.