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Finding the Fourth Proportional to 9,135.95, 12,607.29 and 5,102.99

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Solution

The fourth proportional to 9,135.95, 12,607.29 and 5,102.99 is: 7,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.95 : 12,607.29 = 5,102.99 : x
  2. Step 2: Convert to fraction form
    9,135.95/12,607.29 = 5,102.99/x
  3. Step 3: Cross multiply
    9,135.95x = 12,607.29 × 5,102.99
  4. Step 4: Simplify right side
    9,135.95x = 64,334,811.76
  5. Step 5: Solve for x
    x = 64,334,811.76/9,135.95
  6. Step 6: Final answer
    x = 7,041.94

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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.