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Finding the Fourth Proportional to 9,602.61, 14,394.33 and 4,595.74

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Solution

The fourth proportional to 9,602.61, 14,394.33 and 4,595.74 is: 6,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.61 : 14,394.33 = 4,595.74 : x
  2. Step 2: Convert to fraction form
    9,602.61/14,394.33 = 4,595.74/x
  3. Step 3: Cross multiply
    9,602.61x = 14,394.33 × 4,595.74
  4. Step 4: Simplify right side
    9,602.61x = 66,152,643.14
  5. Step 5: Solve for x
    x = 66,152,643.14/9,602.61
  6. Step 6: Final answer
    x = 6,889.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.