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Finding the Fourth Proportional to 7,029.60, 9,700.59 and 4,670.07

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Solution

The fourth proportional to 7,029.60, 9,700.59 and 4,670.07 is: 6,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.60 : 9,700.59 = 4,670.07 : x
  2. Step 2: Convert to fraction form
    7,029.60/9,700.59 = 4,670.07/x
  3. Step 3: Cross multiply
    7,029.60x = 9,700.59 × 4,670.07
  4. Step 4: Simplify right side
    7,029.60x = 45,302,434.34
  5. Step 5: Solve for x
    x = 45,302,434.34/7,029.60
  6. Step 6: Final answer
    x = 6,444.53

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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.